12815084304 has 160 divisors (see below), whose sum is σ = 40225996800. Its totient is φ = 3873882240.

The previous prime is 12815084251. The next prime is 12815084309. The reversal of 12815084304 is 40348051821.

12815084304 is a `hidden beast` number, since 128 + 150 + 84 + 304 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12815084309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2083057 + ... + 2089199.

It is an arithmetic number, because the mean of its divisors is an integer number (251412480).

Almost surely, 2^12815084304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12815084304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20112998400).

12815084304 is an abundant number, since it is smaller than the sum of its proper divisors (27410912496).

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

12815084304 is a wasteful number, since it uses less digits than its factorization.

12815084304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12815084304 in words is "twelve billion, eight hundred fifteen million, eighty-four thousand, three hundred four".