23968321977600 has 9720 divisors, whose sum is σ = 134357892419520. Its totient is φ = 4099158835200.

The previous prime is 23968321977577. The next prime is 23968321977601. The reversal of 23968321977600 is 677912386932.

23968321977600 is a `hidden beast` number, since 2 + 3 + 9 + 6 + 8 + 3 + 2 + 19 + 7 + 7 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23968321977601) by changing a digit.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 1261490630391 + ... + 1261490630409.

Almost surely, 2^{23968321977600} is an apocalyptic number.

23968321977600 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 23968321977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67178946209760).

23968321977600 is an abundant number, since it is smaller than the sum of its proper divisors (110389570441920).

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

23968321977600 is a wasteful number, since it uses less digits than its factorization.

23968321977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 23968321977600 in words is "twenty-three trillion, nine hundred sixty-eight billion, three hundred twenty-one million, nine hundred seventy-seven thousand, six hundred".