21697626424320 has 2112 divisors, whose sum is σ = 95352024268800. Its totient is φ = 4431571845120.

The previous prime is 21697626424319. The next prime is 21697626424339. The reversal of 21697626424320 is 2342462679612.

21697626424320 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 7 + 626 + 4 + 2 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80660321146 + ... + 80660321414.

Almost surely, 2^{21697626424320} is an apocalyptic number.

21697626424320 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 21697626424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47676012134400).

21697626424320 is an abundant number, since it is smaller than the sum of its proper divisors (73654397844480).

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

21697626424320 is a wasteful number, since it uses less digits than its factorization.

21697626424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 21697626424320 in words is "twenty-one trillion, six hundred ninety-seven billion, six hundred twenty-six million, four hundred twenty-four thousand, three hundred twenty".