22252757788800 has 1920 divisors, whose sum is σ = 102578595799680. Its totient is φ = 4615004160000.

The previous prime is 22252757788769. The next prime is 22252757788813. The reversal of 22252757788800 is 888775725222.

22252757788800 is a `hidden beast` number, since 2 + 2 + 2 + 52 + 7 + 577 + 8 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17104348150 + ... + 17104349450.

It is an arithmetic number, because the mean of its divisors is an integer number (53426351979).

Almost surely, 2^{22252757788800} is an apocalyptic number.

22252757788800 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 22252757788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51289297899840).

22252757788800 is an abundant number, since it is smaller than the sum of its proper divisors (80325838010880).

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

22252757788800 is a wasteful number, since it uses less digits than its factorization.

22252757788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 70246400, while the sum is 63.

The spelling of 22252757788800 in words is "twenty-two trillion, two hundred fifty-two billion, seven hundred fifty-seven million, seven hundred eighty-eight thousand, eight hundred".