22547200504752 has 640 divisors, whose sum is σ = 88628041728000. Its totient is φ = 5306954526720.

The previous prime is 22547200504693. The next prime is 22547200504783. The reversal of 22547200504752 is 25740500274522.

22547200504752 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 72 + 0 + 0 + 504 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22547200504698 and 22547200504707.

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, 13760824 + ... + 15311912.

It is an arithmetic number, because the mean of its divisors is an integer number (138481315200).

Almost surely, 2^{22547200504752} is an apocalyptic number.

22547200504752 is a gapful number since it is divisible by the number (22) 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 22547200504752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44314020864000).

22547200504752 is an abundant number, since it is smaller than the sum of its proper divisors (66080841223248).

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

22547200504752 is a wasteful number, since it uses less digits than its factorization.

22547200504752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551166 (or 1551154 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 22547200504752 in words is "twenty-two trillion, five hundred forty-seven billion, two hundred million, five hundred four thousand, seven hundred fifty-two".