22830120960 has 160 divisors (see below), whose sum is σ = 73081483200. Its totient is φ = 6085935104.

The previous prime is 22830120923. The next prime is 22830121007. The reversal of 22830120960 is 6902103822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7862869 + ... + 7865771.

It is an arithmetic number, because the mean of its divisors is an integer number (456759270).

Almost surely, 2^22830120960 is an apocalyptic number.

22830120960 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 22830120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36540741600).

22830120960 is an abundant number, since it is smaller than the sum of its proper divisors (50251362240).

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

22830120960 is an frugal number, since it uses more digits than its factorization.

22830120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 22830120960 in words is "twenty-two billion, eight hundred thirty million, one hundred twenty thousand, nine hundred sixty".