16864868300000 has 288 divisors, whose sum is σ = 47498448029760. Its totient is φ = 5773824000000.

The previous prime is 16864868299997. The next prime is 16864868300047. The reversal of 16864868300000 is 386846861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490682816 + ... + 490717184.

It is an arithmetic number, because the mean of its divisors is an integer number (164925166770).

Almost surely, 2^{16864868300000} is an apocalyptic number.

16864868300000 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 16864868300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23749224014880).

16864868300000 is an abundant number, since it is smaller than the sum of its proper divisors (30633579729760).

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

16864868300000 is an frugal number, since it uses more digits than its factorization.

16864868300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35112 (or 35084 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The spelling of 16864868300000 in words is "sixteen trillion, eight hundred sixty-four billion, eight hundred sixty-eight million, three hundred thousand".