22553490960 has 1920 divisors, whose sum is σ = 112832778240. Its totient is φ = 4031078400.

The previous prime is 22553490931. The next prime is 22553490989. The reversal of 22553490960 is 6909435522.

22553490960 is a `hidden beast` number, since 2 + 2 + 553 + 4 + 9 + 0 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22553490931) and next prime (22553490989).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 369729330 + ... + 369729390.

It is an arithmetic number, because the mean of its divisors is an integer number (58767072).

Almost surely, 2^22553490960 is an apocalyptic number.

22553490960 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 22553490960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56416389120).

22553490960 is an abundant number, since it is smaller than the sum of its proper divisors (90279287280).

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

22553490960 is a wasteful number, since it uses less digits than its factorization.

22553490960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 22553490960 in words is "twenty-two billion, five hundred fifty-three million, four hundred ninety thousand, nine hundred sixty".