15287875680 has 576 divisors, whose sum is σ = 62497419264. Its totient is φ = 3071692800.

The previous prime is 15287875661. The next prime is 15287875709. The reversal of 15287875680 is 8657878251.

15287875680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15287875680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12602754 + ... + 12603966.

It is an arithmetic number, because the mean of its divisors is an integer number (108502464).

Almost surely, 2^15287875680 is an apocalyptic number.

15287875680 is a gapful number since it is divisible by the number (10) 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 15287875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248709632).

15287875680 is an abundant number, since it is smaller than the sum of its proper divisors (47209543584).

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

15287875680 is a wasteful number, since it uses less digits than its factorization.

15287875680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 57.

The spelling of 15287875680 in words is "fifteen billion, two hundred eighty-seven million, eight hundred seventy-five thousand, six hundred eighty".