15947160768 has 784 divisors, whose sum is σ = 62045185536. Its totient is φ = 3941498880.

The previous prime is 15947160751. The next prime is 15947160773. The reversal of 15947160768 is 86706174951.

15947160768 is a `hidden beast` number, since 1 + 59 + 471 + 60 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 82627680 + ... + 82627872.

Almost surely, 2^15947160768 is an apocalyptic number.

15947160768 is a gapful number since it is divisible by the number (18) 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 15947160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31022592768).

15947160768 is an abundant number, since it is smaller than the sum of its proper divisors (46098024768).

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

15947160768 is a wasteful number, since it uses less digits than its factorization.

15947160768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

It can be divided in two parts, 15947 and 160768, that added together give a triangular number (176715 = T₅₉₄).

The spelling of 15947160768 in words is "fifteen billion, nine hundred forty-seven million, one hundred sixty thousand, seven hundred sixty-eight".