22524332160 has 256 divisors, whose sum is σ = 80852152320. Its totient is φ = 5284147200.

The previous prime is 22524332113. The next prime is 22524332179. The reversal of 22524332160 is 6123342522.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637519 + ... + 671921.

It is an arithmetic number, because the mean of its divisors is an integer number (315828720).

Almost surely, 2^22524332160 is an apocalyptic number.

22524332160 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 22524332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40426076160).

22524332160 is an abundant number, since it is smaller than the sum of its proper divisors (58327820160).

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

22524332160 is a wasteful number, since it uses less digits than its factorization.

22524332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34467 (or 34455 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 22524332160 its reverse (6123342522), we get a palindrome (28647674682).

It can be divided in two parts, 225243 and 32160, that added together give a triangular number (257403 = T₇₁₇).

The spelling of 22524332160 in words is "twenty-two billion, five hundred twenty-four million, three hundred thirty-two thousand, one hundred sixty".