22501411365888 has 1320 divisors, whose sum is σ = 85104000894528. Its totient is φ = 5795341074432.

The previous prime is 22501411365859. The next prime is 22501411365893. The reversal of 22501411365888 is 88856311410522.

22501411365888 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 1 + 41 + 13 + 6 + 588 + 8 = 666.

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 119 ways as a sum of consecutive naturals, for example, 4219275670 + ... + 4219281002.

Almost surely, 2^{22501411365888} is an apocalyptic number.

22501411365888 is a gapful number since it is divisible by the number (28) 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 22501411365888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42552000447264).

22501411365888 is an abundant number, since it is smaller than the sum of its proper divisors (62602589528640).

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

22501411365888 is a wasteful number, since it uses less digits than its factorization.

22501411365888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5401 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 22501411365888 in words is "twenty-two trillion, five hundred one billion, four hundred eleven million, three hundred sixty-five thousand, eight hundred eighty-eight".