16926799288320 has 1152 divisors, whose sum is σ = 63465795993600. Its totient is φ = 4321507147776.

The previous prime is 16926799288307. The next prime is 16926799288327. The reversal of 16926799288320 is 2388299762961.

16926799288320 is a `hidden beast` number, since 1 + 69 + 267 + 9 + 9 + 288 + 3 + 20 = 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16926799288327) 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, 9164481637 + ... + 9164483483.

It is an arithmetic number, because the mean of its divisors is an integer number (55091836800).

Almost surely, 2^{16926799288320} is an apocalyptic number.

16926799288320 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 16926799288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31732897996800).

16926799288320 is an abundant number, since it is smaller than the sum of its proper divisors (46538996705280).

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

16926799288320 is a wasteful number, since it uses less digits than its factorization.

16926799288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 16926799288320 in words is "sixteen trillion, nine hundred twenty-six billion, seven hundred ninety-nine million, two hundred eighty-eight thousand, three hundred twenty".