258285081600 has 1584 divisors, whose sum is σ = 1158982709248. Its totient is φ = 53508833280.

The previous prime is 258285081589. The next prime is 258285081601. The reversal of 258285081600 is 6180582852.

258285081600 is a `hidden beast` number, since 2 + 5 + 82 + 8 + 508 + 1 + 60 + 0 = 666.

It is a super-2 number, since 2×258285081600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258285081601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2033740737 + ... + 2033740863.

Almost surely, 2^258285081600 is an apocalyptic number.

258285081600 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 258285081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579491354624).

258285081600 is an abundant number, since it is smaller than the sum of its proper divisors (900697627648).

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

258285081600 is a wasteful number, since it uses less digits than its factorization.

258285081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 258285081600 in words is "two hundred fifty-eight billion, two hundred eighty-five million, eighty-one thousand, six hundred".