564256025160 has 128 divisors (see below), whose sum is σ = 1717041576960. Its totient is φ = 148311699200.

The previous prime is 564256025107. The next prime is 564256025233. The reversal of 564256025160 is 61520652465.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55911715 + ... + 55921805.

It is an arithmetic number, because the mean of its divisors is an integer number (13414387320).

Almost surely, 2^564256025160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564256025160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858520788480).

564256025160 is an abundant number, since it is smaller than the sum of its proper divisors (1152785551800).

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

564256025160 is a wasteful number, since it uses less digits than its factorization.

564256025160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16739 (or 16735 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 564256025160 in words is "five hundred sixty-four billion, two hundred fifty-six million, twenty-five thousand, one hundred sixty".