258138866260800 has 2688 divisors, whose sum is σ = 1126224876994560. Its totient is φ = 56292433920000.

The previous prime is 258138866260799. The next prime is 258138866260801. The reversal of 258138866260800 is 8062668831852.

258138866260800 is a `hidden beast` number, since 2 + 5 + 8 + 13 + 8 + 8 + 6 + 6 + 2 + 608 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (258138866260799) and next prime (258138866260801).

It is a super-2 number, since 2×258138866260800² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258138866260801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 144453757507 + ... + 144453759293.

It is an arithmetic number, because the mean of its divisors is an integer number (418982469120).

Almost surely, 2^{258138866260800} is an apocalyptic number.

258138866260800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258138866260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563112438497280).

258138866260800 is an abundant number, since it is smaller than the sum of its proper divisors (868086010733760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258138866260800 is a wasteful number, since it uses less digits than its factorization.

258138866260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 258138866260800 in words is "two hundred fifty-eight trillion, one hundred thirty-eight billion, eight hundred sixty-six million, two hundred sixty thousand, eight hundred".