23586780960 has 96 divisors (see below), whose sum is σ = 82553748480. Its totient is φ = 6289807104.

The previous prime is 23586780949. The next prime is 23586780977. The reversal of 23586780960 is 6908768532.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 23586780897 and 23586780906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2725632 + ... + 2734271.

It is an arithmetic number, because the mean of its divisors is an integer number (859934880).

Almost surely, 2^23586780960 is an apocalyptic number.

23586780960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23586780960 is an abundant number, since it is smaller than the sum of its proper divisors (58966967520).

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

23586780960 is a wasteful number, since it uses less digits than its factorization.

23586780960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459927 (or 5459913 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

It can be divided in two parts, 23586 and 780960, that added together give a triangular number (804546 = T₁₂₆₈).

The spelling of 23586780960 in words is "twenty-three billion, five hundred eighty-six million, seven hundred eighty thousand, nine hundred sixty".