16696673011200 has 2880 divisors, whose sum is σ = 72378755463168. Its totient is φ = 3359165644800.

The previous prime is 16696673011181. The next prime is 16696673011217. The reversal of 16696673011200 is 211037669661.

16696673011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16696673011200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 73553625487 + ... + 73553625713.

Almost surely, 2^{16696673011200} is an apocalyptic number.

16696673011200 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 16696673011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36189377731584).

16696673011200 is an abundant number, since it is smaller than the sum of its proper divisors (55682082451968).

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

16696673011200 is a wasteful number, since it uses less digits than its factorization.

16696673011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 16696673011200 in words is "sixteen trillion, six hundred ninety-six billion, six hundred seventy-three million, eleven thousand, two hundred".