22295409312960 has 896 divisors, whose sum is σ = 93884154624000. Its totient is φ = 4874292412416.

The previous prime is 22295409312959. The next prime is 22295409313033. The reversal of 22295409312960 is 6921390459222.

22295409312960 is a `hidden beast` number, since 2 + 2 + 2 + 9 + 540 + 9 + 3 + 1 + 2 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22295409312897 and 22295409312906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131943406 + ... + 132112274.

Almost surely, 2^{22295409312960} is an apocalyptic number.

22295409312960 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 22295409312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46942077312000).

22295409312960 is an abundant number, since it is smaller than the sum of its proper divisors (71588745311040).

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

22295409312960 is a wasteful number, since it uses less digits than its factorization.

22295409312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168998 (or 168982 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 22295409312960 in words is "twenty-two trillion, two hundred ninety-five billion, four hundred nine million, three hundred twelve thousand, nine hundred sixty".