258958725120 has 312 divisors, whose sum is σ = 908482288896. Its totient is φ = 68219633664.

The previous prime is 258958725101. The next prime is 258958725173. The reversal of 258958725120 is 21527859852.

258958725120 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 58 + 72 + 512 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15290097 + ... + 15307023.

It is an arithmetic number, because the mean of its divisors is an integer number (2911802208).

Almost surely, 2^258958725120 is an apocalyptic number.

258958725120 is a gapful number since it is divisible by the number (20) 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 258958725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454241144448).

258958725120 is an abundant number, since it is smaller than the sum of its proper divisors (649523563776).

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

258958725120 is a wasteful number, since it uses less digits than its factorization.

258958725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17045 (or 17020 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 258958725120 in words is "two hundred fifty-eight billion, nine hundred fifty-eight million, seven hundred twenty-five thousand, one hundred twenty".