23193765504 has 960 divisors, whose sum is σ = 89620692480. Its totient is φ = 5822668800.

The previous prime is 23193765461. The next prime is 23193765527. The reversal of 23193765504 is 40556739132.

23193765504 is a `hidden beast` number, since 2 + 3 + 1 + 93 + 7 + 6 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23193765504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 380225634 + ... + 380225694.

It is an arithmetic number, because the mean of its divisors is an integer number (93354888).

Almost surely, 2^23193765504 is an apocalyptic number.

23193765504 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 23193765504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44810346240).

23193765504 is an abundant number, since it is smaller than the sum of its proper divisors (66426926976).

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

23193765504 is a wasteful number, since it uses less digits than its factorization.

23193765504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 23193765504 in words is "twenty-three billion, one hundred ninety-three million, seven hundred sixty-five thousand, five hundred four".