22522645320500 has 96 divisors (see below), whose sum is σ = 52977078030240. Its totient is φ = 8315454566400.

The previous prime is 22522645320481. The next prime is 22522645320551. The reversal of 22522645320500 is 502354622522.

It can be written as a sum of positive squares in 16 ways, for example, as 22432840814224 + 89804506276 = 4736332^2 + 299674^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95777066 + ... + 96011934.

It is an arithmetic number, because the mean of its divisors is an integer number (551844562815).

Almost surely, 2^{22522645320500} is an apocalyptic number.

22522645320500 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 22522645320500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26488539015120).

22522645320500 is an abundant number, since it is smaller than the sum of its proper divisors (30454432709740).

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

22522645320500 is a wasteful number, since it uses less digits than its factorization.

22522645320500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249654 (or 249642 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

The spelling of 22522645320500 in words is "twenty-two trillion, five hundred twenty-two billion, six hundred forty-five million, three hundred twenty thousand, five hundred".