23679552960 has 784 divisors, whose sum is σ = 102422529216. Its totient is φ = 5088116736.

The previous prime is 23679552937. The next prime is 23679552989. The reversal of 23679552960 is 6925597632.

23679552960 is a `hidden beast` number, since 23 + 6 + 7 + 9 + 552 + 9 + 60 = 666.

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 = 23679552897 and 23679552906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27759894 + ... + 27760746.

Almost surely, 2^23679552960 is an apocalyptic number.

23679552960 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 23679552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51211264608).

23679552960 is an abundant number, since it is smaller than the sum of its proper divisors (78742976256).

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

23679552960 is an equidigital number, since it uses as much as digits as its factorization.

23679552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 23679552960 in words is "twenty-three billion, six hundred seventy-nine million, five hundred fifty-two thousand, nine hundred sixty".