10232865504 has 72 divisors (see below), whose sum is σ = 29160855360. Its totient is φ = 3403788288.

The previous prime is 10232865481. The next prime is 10232865509. The reversal of 10232865504 is 40556823201.

10232865504 is a `hidden beast` number, since 1 + 0 + 23 + 2 + 86 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232865509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100864 + ... + 175040.

It is an arithmetic number, because the mean of its divisors is an integer number (405011880).

Almost surely, 2^10232865504 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 10232865504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580427680).

10232865504 is an abundant number, since it is smaller than the sum of its proper divisors (18927989856).

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

10232865504 is a wasteful number, since it uses less digits than its factorization.

10232865504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74672 (or 74661 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10232865504 in words is "ten billion, two hundred thirty-two million, eight hundred sixty-five thousand, five hundred four".