2616321116160 has 1152 divisors, whose sum is σ = 9876314448000. Its totient is φ = 656597975040.

The previous prime is 2616321116137. The next prime is 2616321116237. The reversal of 2616321116160 is 616111236162.

2616321116160 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 3 + 21 + 11 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11424982926 + ... + 11424983154.

It is an arithmetic number, because the mean of its divisors is an integer number (8573189625).

Almost surely, 2^{2616321116160} is an apocalyptic number.

2616321116160 is a gapful number since it is divisible by the number (20) 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 2616321116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938157224000).

2616321116160 is an abundant number, since it is smaller than the sum of its proper divisors (7259993331840).

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

2616321116160 is a wasteful number, since it uses less digits than its factorization.

2616321116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 2616321116160 in words is "two trillion, six hundred sixteen billion, three hundred twenty-one million, one hundred sixteen thousand, one hundred sixty".