23977605960 has 1024 divisors, whose sum is σ = 105106636800. Its totient is φ = 4717440000.

The previous prime is 23977605931. The next prime is 23977605979. The reversal of 23977605960 is 6950677932.

23977605960 is a `hidden beast` number, since 23 + 9 + 7 + 7 + 605 + 9 + 6 + 0 = 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 = 23977605897 and 23977605906.

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 255 ways as a sum of consecutive naturals, for example, 183035095 + ... + 183035225.

It is an arithmetic number, because the mean of its divisors is an integer number (102643200).

Almost surely, 2^23977605960 is an apocalyptic number.

23977605960 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 23977605960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52553318400).

23977605960 is an abundant number, since it is smaller than the sum of its proper divisors (81129030840).

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

23977605960 is a wasteful number, since it uses less digits than its factorization.

23977605960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 23977605960 in words is "twenty-three billion, nine hundred seventy-seven million, six hundred five thousand, nine hundred sixty".