23961672286272 has 672 divisors, whose sum is σ = 84038739354240. Its totient is φ = 6671882649600.

The previous prime is 23961672286243. The next prime is 23961672286291. The reversal of 23961672286272 is 27268227616932.

23961672286272 is a `hidden beast` number, since 2 + 3 + 9 + 6 + 16 + 72 + 286 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

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 95 ways as a sum of consecutive naturals, for example, 1663882272 + ... + 1663896672.

Almost surely, 2^{23961672286272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23961672286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42019369677120).

23961672286272 is an abundant number, since it is smaller than the sum of its proper divisors (60077067067968).

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

23961672286272 is a wasteful number, since it uses less digits than its factorization.

23961672286272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14936 (or 14913 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 23961672286272 in words is "twenty-three trillion, nine hundred sixty-one billion, six hundred seventy-two million, two hundred eighty-six thousand, two hundred seventy-two".