258306874560 has 1120 divisors, whose sum is σ = 1091465147520. Its totient is φ = 56757583872.

The previous prime is 258306874549. The next prime is 258306874591. The reversal of 258306874560 is 65478603852.

258306874560 is a `hidden beast` number, since 2 + 5 + 8 + 3 + 0 + 6 + 8 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 258306874497 and 258306874506.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 731747344 + ... + 731747696.

Almost surely, 2^258306874560 is an apocalyptic number.

258306874560 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 258306874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545732573760).

258306874560 is an abundant number, since it is smaller than the sum of its proper divisors (833158272960).

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

258306874560 is a wasteful number, since it uses less digits than its factorization.

258306874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 258306874560 in words is "two hundred fifty-eight billion, three hundred six million, eight hundred seventy-four thousand, five hundred sixty".