23979533905152 has 1152 divisors, whose sum is σ = 85495699430400. Its totient is φ = 6485270593536.

The previous prime is 23979533905121. The next prime is 23979533905237. The reversal of 23979533905152 is 25150933597932.

23979533905152 is a `hidden beast` number, since 2 + 3 + 9 + 7 + 9 + 533 + 90 + 5 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23979533905152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19768782498 + ... + 19768783710.

Almost surely, 2^{23979533905152} 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 23979533905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42747849715200).

23979533905152 is an abundant number, since it is smaller than the sum of its proper divisors (61516165525248).

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

23979533905152 is a wasteful number, since it uses less digits than its factorization.

23979533905152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 68890500, while the sum is 63.

The spelling of 23979533905152 in words is "twenty-three trillion, nine hundred seventy-nine billion, five hundred thirty-three million, nine hundred five thousand, one hundred fifty-two".