22502166120522 has 576 divisors, whose sum is σ = 57241266001920. Its totient is φ = 6331505356800.

The previous prime is 22502166120487. The next prime is 22502166120527.

22502166120522 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 2 + 1 + 6 + 6 + 120 + 522 = 666.

22502166120522 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (22502166120527) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 161886087129 + ... + 161886087267.

It is an arithmetic number, because the mean of its divisors is an integer number (99377197920).

Almost surely, 2^{22502166120522} is an apocalyptic number.

22502166120522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22502166120522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28620633000960).

22502166120522 is an abundant number, since it is smaller than the sum of its proper divisors (34739099881398).

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

22502166120522 is a wasteful number, since it uses less digits than its factorization.

22502166120522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 2250216 and 6120522, that added together give a palindrome (8370738).

The spelling of 22502166120522 in words is "twenty-two trillion, five hundred two billion, one hundred sixty-six million, one hundred twenty thousand, five hundred twenty-two".