22541412960 has 576 divisors, whose sum is σ = 87525023040. Its totient is φ = 5234688000.

The previous prime is 22541412941. The next prime is 22541412989. The reversal of 22541412960 is 6921414522.

It is a happy number.

22541412960 is a `hidden beast` number, since 22 + 541 + 4 + 1 + 2 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39615556 + ... + 39616124.

It is an arithmetic number, because the mean of its divisors is an integer number (151953165).

Almost surely, 2^22541412960 is an apocalyptic number.

22541412960 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 22541412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43762511520).

22541412960 is an abundant number, since it is smaller than the sum of its proper divisors (64983610080).

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

22541412960 is a wasteful number, since it uses less digits than its factorization.

22541412960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 22541412960 in words is "twenty-two billion, five hundred forty-one million, four hundred twelve thousand, nine hundred sixty".