16800924093408 has 720 divisors, whose sum is σ = 62184813989760. Its totient is φ = 4355864128512.

The previous prime is 16800924093311. The next prime is 16800924093419. The reversal of 16800924093408 is 80439042900861.

16800924093408 is a `hidden beast` number, since 1 + 68 + 0 + 0 + 92 + 4 + 0 + 93 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 180867391 + ... + 180960257.

It is an arithmetic number, because the mean of its divisors is an integer number (86367797208).

Almost surely, 2^{16800924093408} is an apocalyptic number.

16800924093408 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 16800924093408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31092406994880).

16800924093408 is an abundant number, since it is smaller than the sum of its proper divisors (45383889896352).

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

16800924093408 is a wasteful number, since it uses less digits than its factorization.

16800924093408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92981 (or 92951 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 16800924093408 in words is "sixteen trillion, eight hundred billion, nine hundred twenty-four million, ninety-three thousand, four hundred eight".