21310682656 has 192 divisors, whose sum is σ = 47358452736. Its totient is φ = 9392947200.

The previous prime is 21310682641. The next prime is 21310682681. The reversal of 21310682656 is 65628601312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100998391 + ... + 100998601.

It is an arithmetic number, because the mean of its divisors is an integer number (246658608).

Almost surely, 2^21310682656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21310682656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23679226368).

21310682656 is an abundant number, since it is smaller than the sum of its proper divisors (26047770080).

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

21310682656 is a wasteful number, since it uses less digits than its factorization.

21310682656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 21310682656 in words is "twenty-one billion, three hundred ten million, six hundred eighty-two thousand, six hundred fifty-six".