15904680960 has 352 divisors, whose sum is σ = 59255442432. Its totient is φ = 3565486080.

The previous prime is 15904680959. The next prime is 15904680997. The reversal of 15904680960 is 6908640951.

15904680960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 5697165 + ... + 5699955.

Almost surely, 2^15904680960 is an apocalyptic number.

15904680960 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 15904680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29627721216).

15904680960 is an abundant number, since it is smaller than the sum of its proper divisors (43350761472).

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

15904680960 is a wasteful number, since it uses less digits than its factorization.

15904680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 15904680960 in words is "fifteen billion, nine hundred four million, six hundred eighty thousand, nine hundred sixty".