21796584960 has 160 divisors (see below), whose sum is σ = 70997018400. Its totient is φ = 5702647808.

The previous prime is 21796584923. The next prime is 21796584983. The reversal of 21796584960 is 6948569712.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×21796584960² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21796584960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380266 + ... + 433814.

It is an arithmetic number, because the mean of its divisors is an integer number (443731365).

Almost surely, 2^21796584960 is an apocalyptic number.

21796584960 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 21796584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35498509200).

21796584960 is an abundant number, since it is smaller than the sum of its proper divisors (49200433440).

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

21796584960 is an equidigital number, since it uses as much as digits as its factorization.

21796584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53628 (or 53612 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 21796584960 in words is "twenty-one billion, seven hundred ninety-six million, five hundred eighty-four thousand, nine hundred sixty".