22960089984 has 128 divisors (see below), whose sum is σ = 67798241280. Its totient is φ = 6836705280.

The previous prime is 22960089947. The next prime is 22960090007. The reversal of 22960089984 is 48998006922.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80569 + ... + 228935.

It is an arithmetic number, because the mean of its divisors is an integer number (529673760).

Almost surely, 2^22960089984 is an apocalyptic number.

22960089984 is a gapful number since it is divisible by the number (24) 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 22960089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33899120640).

22960089984 is an abundant number, since it is smaller than the sum of its proper divisors (44838151296).

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

22960089984 is a wasteful number, since it uses less digits than its factorization.

22960089984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148428 (or 148416 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 22960089984 in words is "twenty-two billion, nine hundred sixty million, eighty-nine thousand, nine hundred eighty-four".