16715920160 has 192 divisors, whose sum is σ = 42098525280. Its totient is φ = 6261964800.

The previous prime is 16715920139. The next prime is 16715920217. The reversal of 16715920160 is 6102951761.

It can be written as a sum of positive squares in 16 ways, for example, as 6173559184 + 10542360976 = 78572^2 + 102676^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24837584 + ... + 24838256.

Almost surely, 2^16715920160 is an apocalyptic number.

16715920160 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 16715920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21049262640).

16715920160 is an abundant number, since it is smaller than the sum of its proper divisors (25382605120).

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

16715920160 is a wasteful number, since it uses less digits than its factorization.

16715920160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 38.

The spelling of 16715920160 in words is "sixteen billion, seven hundred fifteen million, nine hundred twenty thousand, one hundred sixty".