23638725504 has 128 divisors (see below), whose sum is σ = 69990400800. Its totient is φ = 7854354432.

The previous prime is 23638725463. The next prime is 23638725511. The reversal of 23638725504 is 40552783632.

23638725504 is a `hidden beast` number, since 2 + 3 + 63 + 87 + 2 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 23638725504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1084764 + ... + 1106340.

Almost surely, 2^23638725504 is an apocalyptic number.

23638725504 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 23638725504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34995200400).

23638725504 is an abundant number, since it is smaller than the sum of its proper divisors (46351675296).

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

23638725504 is a wasteful number, since it uses less digits than its factorization.

23638725504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21917 (or 21899 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 23638725504 in words is "twenty-three billion, six hundred thirty-eight million, seven hundred twenty-five thousand, five hundred four".