15582984960 has 144 divisors (see below), whose sum is σ = 49870084320. Its totient is φ = 4146954240.

The previous prime is 15582984959. The next prime is 15582984973. The reversal of 15582984960 is 6948928551.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 15582984960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1996746 + ... + 2004534.

It is an arithmetic number, because the mean of its divisors is an integer number (346320030).

Almost surely, 2^15582984960 is an apocalyptic number.

15582984960 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 15582984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935042160).

15582984960 is an abundant number, since it is smaller than the sum of its proper divisors (34287099360).

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

15582984960 is an equidigital number, since it uses as much as digits as its factorization.

15582984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8334 (or 8320 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 15582984960 in words is "fifteen billion, five hundred eighty-two million, nine hundred eighty-four thousand, nine hundred sixty".