23221357568640 has 2048 divisors, whose sum is σ = 109065802752000. Its totient is φ = 4520540897280.

The previous prime is 23221357568639. The next prime is 23221357568719. The reversal of 23221357568640 is 4686575312232.

23221357568640 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 1 + 3 + 575 + 6 + 8 + 64 + 0 = 666.

It is a super-2 number, since 2×23221357568640² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5179867839 + ... + 5179872321.

It is an arithmetic number, because the mean of its divisors is an integer number (53254786500).

Almost surely, 2^{23221357568640} is an apocalyptic number.

23221357568640 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 23221357568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54532901376000).

23221357568640 is an abundant number, since it is smaller than the sum of its proper divisors (85844445183360).

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

23221357568640 is a wasteful number, since it uses less digits than its factorization.

23221357568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 23221357568640 in words is "twenty-three trillion, two hundred twenty-one billion, three hundred fifty-seven million, five hundred sixty-eight thousand, six hundred forty".