22505932800 has 972 divisors, whose sum is σ = 92714661585. Its totient is φ = 5214044160.

The previous prime is 22505932789. The next prime is 22505932829. The reversal of 22505932800 is 823950522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 1241293824 + 21264638976 = 35232^2 + 145824^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106080.

It is a super-2 number, since 2×22505932800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1323878392 + ... + 1323878408.

Almost surely, 2^22505932800 is an apocalyptic number.

22505932800 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 22505932800

22505932800 is an abundant number, since it is smaller than the sum of its proper divisors (70208728785).

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

22505932800 is a wasteful number, since it uses less digits than its factorization.

22505932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 22505932800 in words is "twenty-two billion, five hundred five million, nine hundred thirty-two thousand, eight hundred".