258564066264 has 192 divisors, whose sum is σ = 832771031040. Its totient is φ = 70939065600.

The previous prime is 258564066253. The next prime is 258564066283. The reversal of 258564066264 is 462660465852.

258564066264 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 6 + 4 + 0 + 6 + 626 + 4 = 666.

258564066264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 258564066264.

It is a congruent number.

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, 1152489 + ... + 1358439.

It is an arithmetic number, because the mean of its divisors is an integer number (4337349120).

Almost surely, 2^258564066264 is an apocalyptic number.

258564066264 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 258564066264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416385515520).

258564066264 is an abundant number, since it is smaller than the sum of its proper divisors (574206964776).

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

258564066264 is a wasteful number, since it uses less digits than its factorization.

258564066264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206070 (or 206063 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 258564066264 in words is "two hundred fifty-eight billion, five hundred sixty-four million, sixty-six thousand, two hundred sixty-four".