22252549925760 has 512 divisors, whose sum is σ = 88643513548800. Its totient is φ = 4612858060800.

The previous prime is 22252549925741. The next prime is 22252549925761. The reversal of 22252549925760 is 6752994525222.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 22252549925694 and 22252549925703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22252549925761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61765345 + ... + 62124575.

It is an arithmetic number, because the mean of its divisors is an integer number (173131862400).

Almost surely, 2^{22252549925760} is an apocalyptic number.

22252549925760 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 22252549925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44321756774400).

22252549925760 is an abundant number, since it is smaller than the sum of its proper divisors (66390963623040).

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

22252549925760 is a wasteful number, since it uses less digits than its factorization.

22252549925760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359690 (or 359678 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 60.

The spelling of 22252549925760 in words is "twenty-two trillion, two hundred fifty-two billion, five hundred forty-nine million, nine hundred twenty-five thousand, seven hundred sixty".