16610312160 has 288 divisors, whose sum is σ = 61396302240. Its totient is φ = 4065030144.

The previous prime is 16610312143. The next prime is 16610312167. The reversal of 16610312160 is 6121301661.

16610312160 is a `hidden beast` number, since 1 + 6 + 610 + 31 + 2 + 16 + 0 = 666.

It is a Cunningham number, because it is equal to 359⁴-1.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16610312167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3348402 + ... + 3353358.

It is an arithmetic number, because the mean of its divisors is an integer number (213181605).

Almost surely, 2^16610312160 is an apocalyptic number.

16610312160 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 16610312160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30698151120).

16610312160 is an abundant number, since it is smaller than the sum of its proper divisors (44785990080).

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

16610312160 is a wasteful number, since it uses less digits than its factorization.

16610312160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 16610312160 in words is "sixteen billion, six hundred ten million, three hundred twelve thousand, one hundred sixty".