15902868960 has 576 divisors, whose sum is σ = 63621754560. Its totient is φ = 3574333440.

The previous prime is 15902868959. The next prime is 15902868979. The reversal of 15902868960 is 6986820951.

It is a happy number.

15902868960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 15902868897 and 15902868906.

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, 19657036 + ... + 19657844.

It is an arithmetic number, because the mean of its divisors is an integer number (110454435).

Almost surely, 2^15902868960 is an apocalyptic number.

15902868960 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 15902868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31810877280).

15902868960 is an abundant number, since it is smaller than the sum of its proper divisors (47718885600).

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

15902868960 is a wasteful number, since it uses less digits than its factorization.

15902868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 15902868960 in words is "fifteen billion, nine hundred two million, eight hundred sixty-eight thousand, nine hundred sixty".