258140113920 has 528 divisors, whose sum is σ = 990564916320. Its totient is φ = 63374524416.

The previous prime is 258140113883. The next prime is 258140113927. The reversal of 258140113920 is 29311041852.

258140113920 is a `hidden beast` number, since 2 + 581 + 40 + 1 + 1 + 39 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (258140113927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681108291 + ... + 681108669.

Almost surely, 2^258140113920 is an apocalyptic number.

258140113920 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 258140113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495282458160).

258140113920 is an abundant number, since it is smaller than the sum of its proper divisors (732424802400).

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

258140113920 is an equidigital number, since it uses as much as digits as its factorization.

258140113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

It can be divided in two parts, 2581401 and 13920, that added together give a square (2595321 = 1611²).

The spelling of 258140113920 in words is "two hundred fifty-eight billion, one hundred forty million, one hundred thirteen thousand, nine hundred twenty".