21940916955264 has 384 divisors, whose sum is σ = 64818308505600. Its totient is φ = 7122141831168.

The previous prime is 21940916955211. The next prime is 21940916955299. The reversal of 21940916955264 is 46255961904912.

21940916955264 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 0 + 9 + 16 + 9 + 552 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1999531282 + ... + 1999542254.

It is an arithmetic number, because the mean of its divisors is an integer number (168797678400).

Almost surely, 2^{21940916955264} is an apocalyptic number.

21940916955264 is a gapful number since it is divisible by the number (24) 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 21940916955264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32409154252800).

21940916955264 is an abundant number, since it is smaller than the sum of its proper divisors (42877391550336).

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

21940916955264 is a wasteful number, since it uses less digits than its factorization.

21940916955264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11372 (or 11357 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 21940916955264 in words is "twenty-one trillion, nine hundred forty billion, nine hundred sixteen million, nine hundred fifty-five thousand, two hundred sixty-four".