22535662252320 has 1152 divisors, whose sum is σ = 89981628033024. Its totient is φ = 5030212534272.

The previous prime is 22535662252291. The next prime is 22535662252387. The reversal of 22535662252320 is 2325226653522.

22535662252320 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 566 + 2 + 2 + 52 + 32 + 0 = 666.

22535662252320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35047685919 + ... + 35047686561.

It is an arithmetic number, because the mean of its divisors is an integer number (78109052112).

Almost surely, 2^{22535662252320} is an apocalyptic number.

22535662252320 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 22535662252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44990814016512).

22535662252320 is an abundant number, since it is smaller than the sum of its proper divisors (67445965780704).

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

22535662252320 is a wasteful number, since it uses less digits than its factorization.

22535662252320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 22535662252320 in words is "twenty-two trillion, five hundred thirty-five billion, six hundred sixty-two million, two hundred fifty-two thousand, three hundred twenty".