16725002791200 has 2304 divisors, whose sum is σ = 70416893030400. Its totient is φ = 3390662246400.

The previous prime is 16725002791129. The next prime is 16725002791213. The reversal of 16725002791200 is 219720052761.

16725002791200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10394655996 + ... + 10394657604.

It is an arithmetic number, because the mean of its divisors is an integer number (30562887600).

Almost surely, 2^{16725002791200} is an apocalyptic number.

16725002791200 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 16725002791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35208446515200).

16725002791200 is an abundant number, since it is smaller than the sum of its proper divisors (53691890239200).

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

16725002791200 is a wasteful number, since it uses less digits than its factorization.

16725002791200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 16725002791200 in words is "sixteen trillion, seven hundred twenty-five billion, two million, seven hundred ninety-one thousand, two hundred".