258885980388000 has 768 divisors, whose sum is σ = 1114102520294400. Its totient is φ = 57133452902400.

The previous prime is 258885980387989. The next prime is 258885980388037. The reversal of 258885980388000 is 883089588852.

258885980388000 is a `hidden beast` number, since 2 + 5 + 88 + 85 + 98 + 0 + 388 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×258885980388000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 258885980388000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16019832 + ... + 27828168.

It is an arithmetic number, because the mean of its divisors is an integer number (1450654323300).

Almost surely, 2^{258885980388000} is an apocalyptic number.

258885980388000 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 258885980388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557051260147200).

258885980388000 is an abundant number, since it is smaller than the sum of its proper divisors (855216539906400).

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

258885980388000 is a wasteful number, since it uses less digits than its factorization.

258885980388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11808407 (or 11808383 counting only the distinct ones).

The product of its (nonzero) digits is 353894400, while the sum is 72.

The spelling of 258885980388000 in words is "two hundred fifty-eight trillion, eight hundred eighty-five billion, nine hundred eighty million, three hundred eighty-eight thousand".