22958760960 has 352 divisors, whose sum is σ = 85895395200. Its totient is φ = 5799444480.

The previous prime is 22958760911. The next prime is 22958760971. The reversal of 22958760960 is 6906785922.

22958760960 is a `hidden beast` number, since 2 + 29 + 5 + 8 + 7 + 609 + 6 + 0 = 666.

It is a super-3 number, since 3×22958760960³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22958760897 and 22958760906.

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 31 ways as a sum of consecutive naturals, for example, 2622190 + ... + 2630930.

Almost surely, 2^22958760960 is an apocalyptic number.

22958760960 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 22958760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42947697600).

22958760960 is an abundant number, since it is smaller than the sum of its proper divisors (62936634240).

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

22958760960 is a wasteful number, since it uses less digits than its factorization.

22958760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8794 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 22958760960 in words is "twenty-two billion, nine hundred fifty-eight million, seven hundred sixty thousand, nine hundred sixty".