16116096301056 has 432 divisors, whose sum is σ = 49548754775520. Its totient is φ = 5045456732160.

The previous prime is 16116096301033. The next prime is 16116096301057. The reversal of 16116096301056 is 65010369061161.

It is a happy number.

16116096301056 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 6 + 0 + 9 + 630 + 1 + 0 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16116096301057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2775284905 + ... + 2775290711.

It is an arithmetic number, because the mean of its divisors is an integer number (114696191610).

Almost surely, 2^{16116096301056} is an apocalyptic number.

16116096301056 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 16116096301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24774377387760).

16116096301056 is an abundant number, since it is smaller than the sum of its proper divisors (33432658474464).

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

16116096301056 is a wasteful number, since it uses less digits than its factorization.

16116096301056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 16116096301056 in words is "sixteen trillion, one hundred sixteen billion, ninety-six million, three hundred one thousand, fifty-six".