23152679424 has 480 divisors, whose sum is σ = 80662158720. Its totient is φ = 6253019136.

The previous prime is 23152679419. The next prime is 23152679443. The reversal of 23152679424 is 42497625132.

23152679424 is a `hidden beast` number, since 2 + 3 + 152 + 6 + 79 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23152679424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49577239 + ... + 49577705.

It is an arithmetic number, because the mean of its divisors is an integer number (168046164).

Almost surely, 2^23152679424 is an apocalyptic number.

23152679424 is a gapful number since it is divisible by the number (24) 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 23152679424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40331079360).

23152679424 is an abundant number, since it is smaller than the sum of its proper divisors (57509479296).

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

23152679424 is a wasteful number, since it uses less digits than its factorization.

23152679424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 561 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 23152679424 in words is "twenty-three billion, one hundred fifty-two million, six hundred seventy-nine thousand, four hundred twenty-four".