21583696680 has 768 divisors, whose sum is σ = 91027722240. Its totient is φ = 4313088000.

The previous prime is 21583696663. The next prime is 21583696681. The reversal of 21583696680 is 8669638512.

It is a happy number.

21583696680 is a `hidden beast` number, since 215 + 8 + 369 + 6 + 68 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (21583696681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53824480 + ... + 53824880.

It is an arithmetic number, because the mean of its divisors is an integer number (118525680).

Almost surely, 2^21583696680 is an apocalyptic number.

21583696680 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 21583696680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45513861120).

21583696680 is an abundant number, since it is smaller than the sum of its proper divisors (69444025560).

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

21583696680 is a wasteful number, since it uses less digits than its factorization.

21583696680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 21583696680 in words is "twenty-one billion, five hundred eighty-three million, six hundred ninety-six thousand, six hundred eighty".