258080157504 has 1120 divisors, whose sum is σ = 906471054720. Its totient is φ = 71986102272.

The previous prime is 258080157469. The next prime is 258080157509. The reversal of 258080157504 is 405751080852.

258080157504 is a `hidden beast` number, since 2 + 58 + 0 + 80 + 15 + 7 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 258080157504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258080157509) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3109399447 + ... + 3109399529.

It is an arithmetic number, because the mean of its divisors is an integer number (809349156).

Almost surely, 2^258080157504 is an apocalyptic number.

258080157504 is a gapful number since it is divisible by the number (24) 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 258080157504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453235527360).

258080157504 is an abundant number, since it is smaller than the sum of its proper divisors (648390897216).

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

258080157504 is a wasteful number, since it uses less digits than its factorization.

258080157504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 258080157504 in words is "two hundred fifty-eight billion, eighty million, one hundred fifty-seven thousand, five hundred four".