21631162560 has 448 divisors, whose sum is σ = 83147489280. Its totient is φ = 4654264320.

The previous prime is 21631162549. The next prime is 21631162573. The reversal of 21631162560 is 6526113612.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24386437 + ... + 24387323.

Almost surely, 2^21631162560 is an apocalyptic number.

21631162560 is a gapful number since it is divisible by the number (20) 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 21631162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41573744640).

21631162560 is an abundant number, since it is smaller than the sum of its proper divisors (61516326720).

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

21631162560 is a wasteful number, since it uses less digits than its factorization.

21631162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 21631162560 in words is "twenty-one billion, six hundred thirty-one million, one hundred sixty-two thousand, five hundred sixty".