23978979696672 has 1536 divisors, whose sum is σ = 96309211299840. Its totient is φ = 5602988298240.

The previous prime is 23978979696643. The next prime is 23978979696739. The reversal of 23978979696672 is 27669697987932.

23978979696672 is a `hidden beast` number, since 2 + 397 + 8 + 9 + 7 + 96 + 9 + 66 + 72 = 666.

It is a super-2 number, since 2×23978979696672² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10690582783 + ... + 10690585025.

It is an arithmetic number, because the mean of its divisors is an integer number (62701309440).

Almost surely, 2^{23978979696672} is an apocalyptic number.

23978979696672 is a gapful number since it is divisible by the number (22) 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 23978979696672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48154605649920).

23978979696672 is an abundant number, since it is smaller than the sum of its proper divisors (72330231603168).

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

23978979696672 is a wasteful number, since it uses less digits than its factorization.

23978979696672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2589 counting only the distinct ones).

The product of its digits is 46664771328, while the sum is 90.

The spelling of 23978979696672 in words is "twenty-three trillion, nine hundred seventy-eight billion, nine hundred seventy-nine million, six hundred ninety-six thousand, six hundred seventy-two".