160916868537600 has 864 divisors, whose sum is σ = 639509148794880. Its totient is φ = 34810198917120.

The previous prime is 160916868537571. The next prime is 160916868537613. The reversal of 160916868537600 is 6735868619061.

160916868537600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×160916868537600² (a number of 29 digits) contains 22 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, 2586765697 + ... + 2586827903.

It is an arithmetic number, because the mean of its divisors is an integer number (740172625920).

Almost surely, 2^{160916868537600} is an apocalyptic number.

160916868537600 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 160916868537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319754574397440).

160916868537600 is an abundant number, since it is smaller than the sum of its proper divisors (478592280257280).

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

160916868537600 is a wasteful number, since it uses less digits than its factorization.

160916868537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63275 (or 63256 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 160916868537600 in words is "one hundred sixty trillion, nine hundred sixteen billion, eight hundred sixty-eight million, five hundred thirty-seven thousand, six hundred".