258789595680 has 1728 divisors, whose sum is σ = 1189210958208. Its totient is φ = 52533411840.

The previous prime is 258789595679. The next prime is 258789595697. The reversal of 258789595680 is 86595987852.

258789595680 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 8 + 9 + 59 + 568 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 258789595599 and 258789595608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1110684844 + ... + 1110685076.

It is an arithmetic number, because the mean of its divisors is an integer number (688200786).

Almost surely, 2^258789595680 is an apocalyptic number.

258789595680 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 258789595680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594605479104).

258789595680 is an abundant number, since it is smaller than the sum of its proper divisors (930421362528).

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

258789595680 is a wasteful number, since it uses less digits than its factorization.

258789595680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 72.

The spelling of 258789595680 in words is "two hundred fifty-eight billion, seven hundred eighty-nine million, five hundred ninety-five thousand, six hundred eighty".