16827112199520 has 960 divisors, whose sum is σ = 69839914991616. Its totient is φ = 3735376404480.

The previous prime is 16827112199507. The next prime is 16827112199603. The reversal of 16827112199520 is 2599121172861.

16827112199520 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 7 + 1 + 1 + 21 + 99 + 520 = 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 159 ways as a sum of consecutive naturals, for example, 829442817 + ... + 829463103.

Almost surely, 2^{16827112199520} is an apocalyptic number.

16827112199520 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 16827112199520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34919957495808).

16827112199520 is an abundant number, since it is smaller than the sum of its proper divisors (53012802792096).

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

16827112199520 is a wasteful number, since it uses less digits than its factorization.

16827112199520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20585 (or 20568 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 16827112199520 in words is "sixteen trillion, eight hundred twenty-seven billion, one hundred twelve million, one hundred ninety-nine thousand, five hundred twenty".