22657530096828 has 288 divisors, whose sum is σ = 65560254439680. Its totient is φ = 6784804477440.

The previous prime is 22657530096787. The next prime is 22657530096923. The reversal of 22657530096828 is 82869003575622.

22657530096828 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 7 + 530 + 0 + 96 + 8 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1900315275 + ... + 1900327197.

It is an arithmetic number, because the mean of its divisors is an integer number (227639772360).

Almost surely, 2^{22657530096828} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22657530096828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32780127219840).

22657530096828 is an abundant number, since it is smaller than the sum of its proper divisors (42902724342852).

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

22657530096828 is a wasteful number, since it uses less digits than its factorization.

22657530096828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14039 (or 14025 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 22657530096828 in words is "twenty-two trillion, six hundred fifty-seven billion, five hundred thirty million, ninety-six thousand, eight hundred twenty-eight".