22566157440 has 512 divisors, whose sum is σ = 79103692800. Its totient is φ = 5453758464.

The previous prime is 22566157387. The next prime is 22566157441. The reversal of 22566157440 is 4475166522.

It is a junction number, because it is equal to n+sod(n) for n = 22566157392 and 22566157401.

It is not an unprimeable number, because it can be changed into a prime (22566157441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85802749 + ... + 85803011.

It is an arithmetic number, because the mean of its divisors is an integer number (154499400).

Almost surely, 2^22566157440 is an apocalyptic number.

22566157440 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 22566157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39551846400).

22566157440 is an abundant number, since it is smaller than the sum of its proper divisors (56537535360).

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

22566157440 is a wasteful number, since it uses less digits than its factorization.

22566157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 22566157440 in words is "twenty-two billion, five hundred sixty-six million, one hundred fifty-seven thousand, four hundred forty".