258116246403840 has 432 divisors, whose sum is σ = 1006792627327200. Its totient is φ = 62573634478080.

The previous prime is 258116246403839. The next prime is 258116246403859. The reversal of 258116246403840 is 48304642611852.

258116246403840 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 1 + 624 + 6 + 4 + 0 + 3 + 8 + 4 + 0 = 666.

258116246403840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 26680395 + ... + 35043914.

Almost surely, 2^{258116246403840} is an apocalyptic number.

258116246403840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258116246403840 is an abundant number, since it is smaller than the sum of its proper divisors (748676380923360).

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

258116246403840 is a wasteful number, since it uses less digits than its factorization.

258116246403840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61724361 (or 61724330 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 258116246403840 in words is "two hundred fifty-eight trillion, one hundred sixteen billion, two hundred forty-six million, four hundred three thousand, eight hundred forty".