21725052712 has 128 divisors (see below), whose sum is σ = 47261491200. Its totient is φ = 9269971200.

The previous prime is 21725052697. The next prime is 21725052737.

21725052712 is nontrivially palindromic in base 10.

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, 19589214 + ... + 19590322.

It is an arithmetic number, because the mean of its divisors is an integer number (369230400).

Almost surely, 2^21725052712 is an apocalyptic number.

21725052712 is a gapful number since it is divisible by the number (22) 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 21725052712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23630745600).

21725052712 is an abundant number, since it is smaller than the sum of its proper divisors (25536438488).

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

21725052712 is a wasteful number, since it uses less digits than its factorization.

21725052712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

It can be divided in two parts, 217250 and 52712, that added together give a palindrome (269962).

The spelling of 21725052712 in words is "twenty-one billion, seven hundred twenty-five million, fifty-two thousand, seven hundred twelve".