15200232864768 has 704 divisors, whose sum is σ = 52165446681600. Its totient is φ = 4282511523840.

The previous prime is 15200232864757. The next prime is 15200232864769. The reversal of 15200232864768 is 86746823200251.

15200232864768 is a `hidden beast` number, since 1 + 520 + 0 + 2 + 32 + 86 + 4 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15200232864769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7871688763 + ... + 7871690693.

Almost surely, 2^{15200232864768} is an apocalyptic number.

15200232864768 is a gapful number since it is divisible by the number (18) 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 15200232864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26082723340800).

15200232864768 is an abundant number, since it is smaller than the sum of its proper divisors (36965213816832).

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

15200232864768 is a wasteful number, since it uses less digits than its factorization.

15200232864768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 15200232864768 in words is "fifteen trillion, two hundred billion, two hundred thirty-two million, eight hundred sixty-four thousand, seven hundred sixty-eight".