258916224060 has 192 divisors, whose sum is σ = 895463976960. Its totient is φ = 61677262080.

The previous prime is 258916224019. The next prime is 258916224067. The reversal of 258916224060 is 60422619852.

258916224060 is a `hidden beast` number, since 2 + 5 + 89 + 162 + 2 + 406 + 0 = 666.

It is a super-2 number, since 2×258916224060² (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 junction number, because it is equal to n+sod(n) for n = 258916223997 and 258916224015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258916224067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377262 + ... + 812501.

It is an arithmetic number, because the mean of its divisors is an integer number (4663874880).

Almost surely, 2^258916224060 is an apocalyptic number.

258916224060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258916224060 is an abundant number, since it is smaller than the sum of its proper divisors (636547752900).

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

258916224060 is a wasteful number, since it uses less digits than its factorization.

258916224060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189825 (or 1189817 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 258916224060 in words is "two hundred fifty-eight billion, nine hundred sixteen million, two hundred twenty-four thousand, sixty".