21608597324160 has 1152 divisors, whose sum is σ = 94664205679680. Its totient is φ = 4445540352000.

The previous prime is 21608597324147. The next prime is 21608597324213. The reversal of 21608597324160 is 6142379580612.

It is a happy number.

21608597324160 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 8 + 597 + 3 + 2 + 41 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 21608597324097 and 21608597324106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 492728794 + ... + 492772646.

It is a 1-persistent number, because it is pandigital, but 2⋅21608597324160 = 43217194648320 is not.

Almost surely, 2^{21608597324160} is an apocalyptic number.

21608597324160 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 21608597324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47332102839840).

21608597324160 is an abundant number, since it is smaller than the sum of its proper divisors (73055608355520).

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

21608597324160 is a wasteful number, since it uses less digits than its factorization.

21608597324160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44008 (or 43982 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 21608597324160 in words is "twenty-one trillion, six hundred eight billion, five hundred ninety-seven million, three hundred twenty-four thousand, one hundred sixty".