22653428656320 has 3136 divisors, whose sum is σ = 104415011205120. Its totient is φ = 4543025356800.

The previous prime is 22653428656259. The next prime is 22653428656321. The reversal of 22653428656320 is 2365682435622.

22653428656320 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 34 + 28 + 6 + 563 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22653428656321) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 107362221015 + ... + 107362221225.

Almost surely, 2^{22653428656320} is an apocalyptic number.

22653428656320 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 22653428656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52207505602560).

22653428656320 is an abundant number, since it is smaller than the sum of its proper divisors (81761582548800).

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

22653428656320 is a wasteful number, since it uses less digits than its factorization.

22653428656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 22653428656320 in words is "twenty-two trillion, six hundred fifty-three billion, four hundred twenty-eight million, six hundred fifty-six thousand, three hundred twenty".