25521010164 has 72 divisors (see below), whose sum is σ = 73560581640. Its totient is φ = 7390697472.

The previous prime is 25521010139. The next prime is 25521010187. The reversal of 25521010164 is 46101012552.

25521010164 is a `hidden beast` number, since 2 + 552 + 1 + 0 + 101 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9860490000 + 15660520164 = 99300^2 + 125142^2 .

It is a congruent number.

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, 1595929 + ... + 1611840.

It is an arithmetic number, because the mean of its divisors is an integer number (1021674745).

Almost surely, 2^25521010164 is an apocalyptic number.

It is an amenable number.

25521010164 is an abundant number, since it is smaller than the sum of its proper divisors (48039571476).

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

25521010164 is a wasteful number, since it uses less digits than its factorization.

25521010164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207809 (or 3207804 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 25521010164 in words is "twenty-five billion, five hundred twenty-one million, ten thousand, one hundred sixty-four".