16961082713568 has 576 divisors, whose sum is σ = 59784473548800. Its totient is φ = 4453804154880.

The previous prime is 16961082713563. The next prime is 16961082713639. The reversal of 16961082713568 is 86531728016961.

16961082713568 is a `hidden beast` number, since 1 + 6 + 9 + 6 + 1 + 0 + 8 + 271 + 356 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16961082713563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170517993 + ... + 170617431.

It is an arithmetic number, because the mean of its divisors is an integer number (103792488800).

Almost surely, 2^{16961082713568} is an apocalyptic number.

16961082713568 is a gapful number since it is divisible by the number (18) 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 16961082713568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29892236774400).

16961082713568 is an abundant number, since it is smaller than the sum of its proper divisors (42823390835232).

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

16961082713568 is a wasteful number, since it uses less digits than its factorization.

16961082713568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99615 (or 99604 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 16961082713568 in words is "sixteen trillion, nine hundred sixty-one billion, eighty-two million, seven hundred thirteen thousand, five hundred sixty-eight".