22960217280 has 448 divisors, whose sum is σ = 97882057728. Its totient is φ = 4403773440.

The previous prime is 22960217261. The next prime is 22960217297. The reversal of 22960217280 is 8271206922.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 949014 + ... + 972906.

It is an arithmetic number, because the mean of its divisors is an integer number (218486736).

Almost surely, 2^22960217280 is an apocalyptic number.

22960217280 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 22960217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48941028864).

22960217280 is an abundant number, since it is smaller than the sum of its proper divisors (74921840448).

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

22960217280 is a wasteful number, since it uses less digits than its factorization.

22960217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23944 (or 23934 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 22960217280 in words is "twenty-two billion, nine hundred sixty million, two hundred seventeen thousand, two hundred eighty".