21560197319136 has 288 divisors, whose sum is σ = 70548145274880. Its totient is φ = 6118213312512.

The previous prime is 21560197319123. The next prime is 21560197319173. The reversal of 21560197319136 is 63191379106512.

21560197319136 is a `hidden beast` number, since 2 + 1 + 5 + 6 + 0 + 197 + 319 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21560197319136² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184480176 + ... + 184597008.

It is an arithmetic number, because the mean of its divisors is an integer number (244958837760).

Almost surely, 2^{21560197319136} 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 21560197319136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35274072637440).

21560197319136 is an abundant number, since it is smaller than the sum of its proper divisors (48987947955744).

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

21560197319136 is a wasteful number, since it uses less digits than its factorization.

21560197319136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117478 (or 117467 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 21560197319136 in words is "twenty-one trillion, five hundred sixty billion, one hundred ninety-seven million, three hundred nineteen thousand, one hundred thirty-six".