22242664785600 has 2016 divisors, whose sum is σ = 94651275264000. Its totient is φ = 4950263808000.

The previous prime is 22242664785511. The next prime is 22242664785643. The reversal of 22242664785600 is 658746624222.

22242664785600 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 2 + 6 + 6 + 4 + 78 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×22242664785600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37009425300 + ... + 37009425900.

Almost surely, 2^{22242664785600} is an apocalyptic number.

22242664785600 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 22242664785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47325637632000).

22242664785600 is an abundant number, since it is smaller than the sum of its proper divisors (72408610478400).

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

22242664785600 is a wasteful number, since it uses less digits than its factorization.

22242664785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 22242664785600 in words is "twenty-two trillion, two hundred forty-two billion, six hundred sixty-four million, seven hundred eighty-five thousand, six hundred".