22876680960 has 1296 divisors, whose sum is σ = 101781388800. Its totient is φ = 4891041792.

The previous prime is 22876680947. The next prime is 22876681019. The reversal of 22876680960 is 6908667822.

It is a tau number, because it is divible by the number of its divisors (1296).

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 = 22876680897 and 22876680906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 289578201 + ... + 289578279.

Almost surely, 2^22876680960 is an apocalyptic number.

22876680960 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 22876680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50890694400).

22876680960 is an abundant number, since it is smaller than the sum of its proper divisors (78904707840).

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

22876680960 is an equidigital number, since it uses as much as digits as its factorization.

22876680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 22876680960 in words is "twenty-two billion, eight hundred seventy-six million, six hundred eighty thousand, nine hundred sixty".