258800082800 has 60 divisors (see below), whose sum is σ = 710591092176. Its totient is φ = 88731456000.

The previous prime is 258800082787. The next prime is 258800082803. The reversal of 258800082800 is 8280008852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258800082803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46211501 + ... + 46217100.

Almost surely, 2^258800082800 is an apocalyptic number.

258800082800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258800082800 is an abundant number, since it is smaller than the sum of its proper divisors (451791009376).

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

258800082800 is a wasteful number, since it uses less digits than its factorization.

258800082800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92428626 (or 92428615 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 41.

The spelling of 258800082800 in words is "two hundred fifty-eight billion, eight hundred million, eighty-two thousand, eight hundred".