258954525648040 has 128 divisors (see below), whose sum is σ = 622821402408960. Its totient is φ = 96687326317824.

The previous prime is 258954525648019. The next prime is 258954525648061. The reversal of 258954525648040 is 40846525459852.

It is an interprime number because it is at equal distance from previous prime (258954525648019) and next prime (258954525648061).

It is a Harshad number since it is a multiple of its sum of digits (67).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13035732 + ... + 26226691.

It is an arithmetic number, because the mean of its divisors is an integer number (4865792206320).

Almost surely, 2^{258954525648040} is an apocalyptic number.

258954525648040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258954525648040 is an abundant number, since it is smaller than the sum of its proper divisors (363866876760920).

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

258954525648040 is a wasteful number, since it uses less digits than its factorization.

258954525648040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39262631 (or 39262627 counting only the distinct ones).

The product of its (nonzero) digits is 552960000, while the sum is 67.

The spelling of 258954525648040 in words is "two hundred fifty-eight trillion, nine hundred fifty-four billion, five hundred twenty-five million, six hundred forty-eight thousand, forty".