23121755315568 has 400 divisors, whose sum is σ = 83918459249856. Its totient is φ = 5982986280960.

The previous prime is 23121755315543. The next prime is 23121755315573. The reversal of 23121755315568 is 86551355712132.

23121755315568 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 1 + 7 + 55 + 31 + 556 + 8 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4401048 + ... + 8100168.

Almost surely, 2^{23121755315568} is an apocalyptic number.

23121755315568 is a gapful number since it is divisible by the number (28) 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 23121755315568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41959229624928).

23121755315568 is an abundant number, since it is smaller than the sum of its proper divisors (60796703934288).

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

23121755315568 is a wasteful number, since it uses less digits than its factorization.

23121755315568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699214 (or 3699199 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 54.

The spelling of 23121755315568 in words is "twenty-three trillion, one hundred twenty-one billion, seven hundred fifty-five million, three hundred fifteen thousand, five hundred sixty-eight".