22505472000 has 960 divisors, whose sum is σ = 93236532480. Its totient is φ = 5308416000.

The previous prime is 22505471971. The next prime is 22505472043. The reversal of 22505472000 is 27450522.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608255982 + ... + 608256018.

It is an arithmetic number, because the mean of its divisors is an integer number (97121388).

Almost surely, 2^22505472000 is an apocalyptic number.

22505472000 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 22505472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46618266240).

22505472000 is an abundant number, since it is smaller than the sum of its proper divisors (70731060480).

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

22505472000 is an equidigital number, since it uses as much as digits as its factorization.

22505472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The spelling of 22505472000 in words is "twenty-two billion, five hundred five million, four hundred seventy-two thousand".