16016793676416 has 1280 divisors, whose sum is σ = 55423478880000. Its totient is φ = 4550066307072.

The previous prime is 16016793676393. The next prime is 16016793676459. The reversal of 16016793676416 is 61467639761061.

16016793676416 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 67 + 93 + 6 + 76 + 416 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 27009769816 + ... + 27009770408.

It is an arithmetic number, because the mean of its divisors is an integer number (43299592875).

Almost surely, 2^{16016793676416} is an apocalyptic number.

16016793676416 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 16016793676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27711739440000).

16016793676416 is an abundant number, since it is smaller than the sum of its proper divisors (39406685203584).

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

16016793676416 is a wasteful number, since it uses less digits than its factorization.

16016793676416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 16016793676416 in words is "sixteen trillion, sixteen billion, seven hundred ninety-three million, six hundred seventy-six thousand, four hundred sixteen".