16872086534400 has 648 divisors, whose sum is σ = 60595307485440. Its totient is φ = 4478863196160.

The previous prime is 16872086534353. The next prime is 16872086534441. The reversal of 16872086534400 is 443568027861.

It is a happy number.

16872086534400 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 20 + 86 + 534 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22830969231 + ... + 22830969969.

Almost surely, 2^{16872086534400} is an apocalyptic number.

16872086534400 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 16872086534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30297653742720).

16872086534400 is an abundant number, since it is smaller than the sum of its proper divisors (43723220951040).

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

16872086534400 is a wasteful number, since it uses less digits than its factorization.

16872086534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 16872086534400 in words is "sixteen trillion, eight hundred seventy-two billion, eighty-six million, five hundred thirty-four thousand, four hundred".