16826991451200 has 1134 divisors, whose sum is σ = 72245891011866. Its totient is φ = 3846051901440.

The previous prime is 16826991451189. The next prime is 16826991451201. The reversal of 16826991451200 is 215419962861.

16826991451200 is a `hidden beast` number, since 1 + 6 + 8 + 26 + 99 + 14 + 512 + 0 + 0 = 666.

16826991451200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1145961686016 + 15681029765184 = 1070496^2 + 3959928^2 .

It is a tau number, because it is divible by the number of its divisors (1134).

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

It is not an unprimeable number, because it can be changed into a prime (16826991451201) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 514366044 + ... + 514398756.

Almost surely, 2^{16826991451200} is an apocalyptic number.

16826991451200 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 16826991451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36122945505933).

16826991451200 is an abundant number, since it is smaller than the sum of its proper divisors (55418899560666).

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

16826991451200 is an frugal number, since it uses more digits than its factorization.

16826991451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32773 (or 32730 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 16826991451200 in words is "sixteen trillion, eight hundred twenty-six billion, nine hundred ninety-one million, four hundred fifty-one thousand, two hundred".