22695268564080 has 240 divisors, whose sum is σ = 87273164160000. Its totient is φ = 5177570637312.

The previous prime is 22695268564061. The next prime is 22695268564123. The reversal of 22695268564080 is 8046586259622.

22695268564080 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 5 + 2 + 68 + 564 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 22695268563999 and 22695268564017.

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, 1669080 + ... + 6940919.

It is an arithmetic number, because the mean of its divisors is an integer number (363638184000).

Almost surely, 2^{22695268564080} is an apocalyptic number.

22695268564080 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 22695268564080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43636582080000).

22695268564080 is an abundant number, since it is smaller than the sum of its proper divisors (64577895595920).

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

22695268564080 is a wasteful number, since it uses less digits than its factorization.

22695268564080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8610548 (or 8610539 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 22695268564080 in words is "twenty-two trillion, six hundred ninety-five billion, two hundred sixty-eight million, five hundred sixty-four thousand, eighty".