16315004160 has 864 divisors, whose sum is σ = 70711280640. Its totient is φ = 3381460992.

The previous prime is 16315004149. The next prime is 16315004213. The reversal of 16315004160 is 6140051361.

16315004160 is a `hidden beast` number, since 1 + 63 + 1 + 500 + 41 + 60 = 666.

It is a super-3 number, since 3×16315004160³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82817182 + ... + 82817378.

It is an arithmetic number, because the mean of its divisors is an integer number (81841760).

Almost surely, 2^16315004160 is an apocalyptic number.

16315004160 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 16315004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35355640320).

16315004160 is an abundant number, since it is smaller than the sum of its proper divisors (54396276480).

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

16315004160 is a wasteful number, since it uses less digits than its factorization.

16315004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 16315004160 in words is "sixteen billion, three hundred fifteen million, four thousand, one hundred sixty".