15909000480 has 96 divisors (see below), whose sum is σ = 55681516800. Its totient is φ = 4242398976.

The previous prime is 15909000463. The next prime is 15909000509. The reversal of 15909000480 is 8400090951.

15909000480 is a `hidden beast` number, since 1 + 5 + 90 + 90 + 0 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1837000 + ... + 1845639.

It is an arithmetic number, because the mean of its divisors is an integer number (580015800).

Almost surely, 2^15909000480 is an apocalyptic number.

15909000480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15909000480 is an abundant number, since it is smaller than the sum of its proper divisors (39772516320).

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

15909000480 is a wasteful number, since it uses less digits than its factorization.

15909000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682663 (or 3682649 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 15909000480 in words is "fifteen billion, nine hundred nine million, four hundred eighty", and thus it is an aban number.