16882793728000 has 192 divisors, whose sum is σ = 42450846197760. Its totient is φ = 6701553664000.

The previous prime is 16882793727911. The next prime is 16882793728027. The reversal of 16882793728000 is 82739728861.

It is a super-2 number, since 2×16882793728000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16882793728000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33284289 + ... + 33787711.

It is an arithmetic number, because the mean of its divisors is an integer number (221098157280).

Almost surely, 2^{16882793728000} is an apocalyptic number.

16882793728000 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 16882793728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21225423098880).

16882793728000 is an abundant number, since it is smaller than the sum of its proper divisors (25568052469760).

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

16882793728000 is an equidigital number, since it uses as much as digits as its factorization.

16882793728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503591 (or 503561 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 61.

The spelling of 16882793728000 in words is "sixteen trillion, eight hundred eighty-two billion, seven hundred ninety-three million, seven hundred twenty-eight thousand".