16160610816 has 360 divisors, whose sum is σ = 57126120480. Its totient is φ = 4373139456.

The previous prime is 16160610803. The next prime is 16160610877. The reversal of 16160610816 is 61801606161.

16160610816 is a `hidden beast` number, since 16 + 16 + 0 + 610 + 8 + 16 = 666.

It is a super-2 number, since 2×16160610816² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4288165 + ... + 4291931.

It is an arithmetic number, because the mean of its divisors is an integer number (158683668).

Almost surely, 2^16160610816 is an apocalyptic number.

16160610816 is a gapful number since it is divisible by the number (16) 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 16160610816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28563060240).

16160610816 is an abundant number, since it is smaller than the sum of its proper divisors (40965509664).

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

16160610816 is a wasteful number, since it uses less digits than its factorization.

16160610816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 16160610816 in words is "sixteen billion, one hundred sixty million, six hundred ten thousand, eight hundred sixteen".