16891264696320 has 1632 divisors, whose sum is σ = 71435162995200. Its totient is φ = 3774156374016.

The previous prime is 16891264696297. The next prime is 16891264696337. The reversal of 16891264696320 is 2369646219861.

16891264696320 is a `hidden beast` number, since 1 + 6 + 8 + 91 + 2 + 6 + 469 + 63 + 20 = 666.

It is a super-2 number, since 2×16891264696320² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20375469666 + ... + 20375470494.

Almost surely, 2^{16891264696320} is an apocalyptic number.

16891264696320 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 16891264696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35717581497600).

16891264696320 is an abundant number, since it is smaller than the sum of its proper divisors (54543898298880).

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

16891264696320 is an frugal number, since it uses more digits than its factorization.

16891264696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 16891264696320 in words is "sixteen trillion, eight hundred ninety-one billion, two hundred sixty-four million, six hundred ninety-six thousand, three hundred twenty".