15791412672 has 560 divisors, whose sum is σ = 55763769600. Its totient is φ = 4415814144.

The previous prime is 15791412653. The next prime is 15791412691. The reversal of 15791412672 is 27621419751.

15791412672 is a `hidden beast` number, since 1 + 579 + 1 + 4 + 1 + 2 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (15791412653) and next prime (15791412691).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 147583243 + ... + 147583349.

It is an arithmetic number, because the mean of its divisors is an integer number (99578160).

Almost surely, 2^15791412672 is an apocalyptic number.

15791412672 is a gapful number since it is divisible by the number (12) 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 15791412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27881884800).

15791412672 is an abundant number, since it is smaller than the sum of its proper divisors (39972356928).

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

15791412672 is an equidigital number, since it uses as much as digits as its factorization.

15791412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 202 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The spelling of 15791412672 in words is "fifteen billion, seven hundred ninety-one million, four hundred twelve thousand, six hundred seventy-two".