23121679896000 has 672 divisors, whose sum is σ = 94554906526080. Its totient is φ = 5283330048000.

The previous prime is 23121679895927. The next prime is 23121679896041. The reversal of 23121679896000 is 69897612132.

23121679896000 is a `hidden beast` number, since 2 + 3 + 1 + 21 + 6 + 7 + 9 + 8 + 9 + 600 + 0 = 666.

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

It is a super-2 number, since 2×23121679896000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2560819486 + ... + 2560828514.

It is an arithmetic number, because the mean of its divisors is an integer number (140706706140).

Almost surely, 2^{23121679896000} is an apocalyptic number.

23121679896000 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 23121679896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47277453263040).

23121679896000 is an abundant number, since it is smaller than the sum of its proper divisors (71433226630080).

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

23121679896000 is a wasteful number, since it uses less digits than its factorization.

23121679896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14150 (or 14127 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 23121679896000 in words is "twenty-three trillion, one hundred twenty-one billion, six hundred seventy-nine million, eight hundred ninety-six thousand".