258992240832 has 280 divisors, whose sum is σ = 875429222976. Its totient is φ = 75001946112.

The previous prime is 258992240827. The next prime is 258992240863. The reversal of 258992240832 is 238042299852.

It is a happy number.

258992240832 is a `hidden beast` number, since 2 + 589 + 9 + 2 + 24 + 0 + 8 + 32 = 666.

It is a super-2 number, since 2×258992240832² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1032633 + ... + 1258695.

Almost surely, 2^258992240832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258992240832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437714611488).

258992240832 is an abundant number, since it is smaller than the sum of its proper divisors (616436982144).

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

258992240832 is a wasteful number, since it uses less digits than its factorization.

258992240832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226117 (or 226098 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 258992240832 in words is "two hundred fifty-eight billion, nine hundred ninety-two million, two hundred forty thousand, eight hundred thirty-two".