21725252712 has 48 divisors (see below), whose sum is σ = 59421812580. Its totient is φ = 7170048000.

The previous prime is 21725252711. The next prime is 21725252749.

21725252712 is a `hidden beast` number, since 2 + 1 + 72 + 52 + 527 + 12 = 666.

21725252712 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 18210422916 + 3514829796 = 134946^2 + 59286^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21725252711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1486489 + ... + 1501032.

Almost surely, 2^21725252712 is an apocalyptic number.

It is an amenable number.

21725252712 is an abundant number, since it is smaller than the sum of its proper divisors (37696559868).

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

21725252712 is a wasteful number, since it uses less digits than its factorization.

21725252712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987634 (or 2987627 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The spelling of 21725252712 in words is "twenty-one billion, seven hundred twenty-five million, two hundred fifty-two thousand, seven hundred twelve".