22910000960 has 336 divisors, whose sum is σ = 70863439680. Its totient is φ = 6972456960.

The previous prime is 22910000947. The next prime is 22910000999. The reversal of 22910000960 is 6900001922.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7415096 + ... + 7418184.

Almost surely, 2^22910000960 is an apocalyptic number.

22910000960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 151360×151361.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22910000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35431719840).

22910000960 is an abundant number, since it is smaller than the sum of its proper divisors (47953438720).

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

22910000960 is a wasteful number, since it uses less digits than its factorization.

22910000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 22910000960 in words is "twenty-two billion, nine hundred ten million, nine hundred sixty", and thus it is an aban number.