16986412800 has 1080 divisors, whose sum is σ = 74585004032. Its totient is φ = 3732480000.

The previous prime is 16986412799. The next prime is 16986412811. The reversal of 16986412800 is 821468961.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112492725 + ... + 112492875.

Almost surely, 2^16986412800 is an apocalyptic number.

16986412800 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 16986412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37292502016).

16986412800 is an abundant number, since it is smaller than the sum of its proper divisors (57598591232).

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

16986412800 is a wasteful number, since it uses less digits than its factorization.

16986412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 16986412800 in words is "sixteen billion, nine hundred eighty-six million, four hundred twelve thousand, eight hundred".