258913456560 has 160 divisors (see below), whose sum is σ = 972887016960. Its totient is φ = 62766892800.

The previous prime is 258913456553. The next prime is 258913456573. The reversal of 258913456560 is 65654319852.

258913456560 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 13 + 4 + 565 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 258913456497 and 258913456506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5424756 + ... + 5472275.

It is an arithmetic number, because the mean of its divisors is an integer number (6080543856).

Almost surely, 2^258913456560 is an apocalyptic number.

258913456560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258913456560 is an abundant number, since it is smaller than the sum of its proper divisors (713973560400).

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

258913456560 is a wasteful number, since it uses less digits than its factorization.

258913456560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10897064 (or 10897052 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 258913456560 in words is "two hundred fifty-eight billion, nine hundred thirteen million, four hundred fifty-six thousand, five hundred sixty".