258747315680 has 96 divisors (see below), whose sum is σ = 700620580800. Its totient is φ = 88459038720.

The previous prime is 258747315599. The next prime is 258747315691. The reversal of 258747315680 is 86513747852.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59900 + ... + 721860.

It is an arithmetic number, because the mean of its divisors is an integer number (7298131050).

Almost surely, 2^258747315680 is an apocalyptic number.

258747315680 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 258747315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350310290400).

258747315680 is an abundant number, since it is smaller than the sum of its proper divisors (441873265120).

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

258747315680 is a wasteful number, since it uses less digits than its factorization.

258747315680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662332 (or 662324 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 258747315680 in words is "two hundred fifty-eight billion, seven hundred forty-seven million, three hundred fifteen thousand, six hundred eighty".