22501372320 has 1008 divisors, whose sum is σ = 96459890688. Its totient is φ = 4938071040.

The previous prime is 22501372303. The next prime is 22501372349. The reversal of 22501372320 is 2327310522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 177176097 + ... + 177176223.

It is an arithmetic number, because the mean of its divisors is an integer number (95694336).

Almost surely, 2^22501372320 is an apocalyptic number.

22501372320 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 22501372320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48229945344).

22501372320 is an abundant number, since it is smaller than the sum of its proper divisors (73958518368).

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

22501372320 is a wasteful number, since it uses less digits than its factorization.

22501372320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 22501372320 its reverse (2327310522), we get a palindrome (24828682842).

The spelling of 22501372320 in words is "twenty-two billion, five hundred one million, three hundred seventy-two thousand, three hundred twenty".