23079242055168 has 640 divisors, whose sum is σ = 77534312486400. Its totient is φ = 6719658393600.

The previous prime is 23079242055157. The next prime is 23079242055203. The reversal of 23079242055168 is 86155024297032.

23079242055168 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 9 + 2 + 4 + 20 + 551 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3315503208 + ... + 3315510168.

It is an arithmetic number, because the mean of its divisors is an integer number (121147363260).

It is a 1-persistent number, because it is pandigital, but 2⋅23079242055168 = 46158484110336 is not.

Almost surely, 2^{23079242055168} 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 23079242055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38767156243200).

23079242055168 is an abundant number, since it is smaller than the sum of its proper divisors (54455070431232).

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

23079242055168 is a wasteful number, since it uses less digits than its factorization.

23079242055168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7991 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 23079242055168 in words is "twenty-three trillion, seventy-nine billion, two hundred forty-two million, fifty-five thousand, one hundred sixty-eight".