22162510621125 has 72 divisors (see below), whose sum is σ = 46474332591960. Its totient is φ = 10131433401600.

The previous prime is 22162510621093. The next prime is 22162510621177. The reversal of 22162510621125 is 52112601526122.

22162510621125 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 2 + 5 + 1 + 0 + 621 + 1 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69060686436 + 22093449934689 = 262794^2 + 4700367^2 .

It is not a de Polignac number, because 22162510621125 - 2⁵ = 22162510621093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22162510621125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 200965380 + ... + 201075629.

It is an arithmetic number, because the mean of its divisors is an integer number (645476841555).

Almost surely, 2^{22162510621125} is an apocalyptic number.

22162510621125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22162510621125 is an abundant number, since it is smaller than the sum of its proper divisors (24311821970835).

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

22162510621125 is a wasteful number, since it uses less digits than its factorization.

22162510621125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402041044 (or 402041024 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 22162510621125 in words is "twenty-two trillion, one hundred sixty-two billion, five hundred ten million, six hundred twenty-one thousand, one hundred twenty-five".