22501807810560 has 1536 divisors, whose sum is σ = 92399082048000. Its totient is φ = 5147549761536.

The previous prime is 22501807810553. The next prime is 22501807810583. The reversal of 22501807810560 is 6501870810522.

22501807810560 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 1 + 8 + 0 + 7 + 81 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3619396572 + ... + 3619402788.

It is an arithmetic number, because the mean of its divisors is an integer number (60155652375).

Almost surely, 2^{22501807810560} is an apocalyptic number.

22501807810560 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 22501807810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46199541024000).

22501807810560 is an abundant number, since it is smaller than the sum of its proper divisors (69897274237440).

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

22501807810560 is a wasteful number, since it uses less digits than its factorization.

22501807810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6338 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 22501807810560 in words is "twenty-two trillion, five hundred one billion, eight hundred seven million, eight hundred ten thousand, five hundred sixty".