16912800000 has 756 divisors, whose sum is σ = 65447725140. Its totient is φ = 4354560000.

The previous prime is 16912799999. The next prime is 16912800019. The reversal of 16912800000 is 821961.

It can be written as a sum of positive squares in 6 ways, for example, as 13807190016 + 3105609984 = 117504^2 + 55728^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 583199986 + ... + 583200014.

It is an arithmetic number, because the mean of its divisors is an integer number (86571065).

Almost surely, 2^16912800000 is an apocalyptic number.

16912800000 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 16912800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32723862570).

16912800000 is an abundant number, since it is smaller than the sum of its proper divisors (48534925140).

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

16912800000 is an frugal number, since it uses more digits than its factorization.

16912800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 16912800000 in words is "sixteen billion, nine hundred twelve million, eight hundred thousand".