16682485142700 has 720 divisors, whose sum is σ = 59493707159040. Its totient is φ = 4018841464320.

The previous prime is 16682485142693. The next prime is 16682485142731. The reversal of 16682485142700 is 724158428661.

16682485142700 is a `hidden beast` number, since 1 + 6 + 6 + 82 + 48 + 514 + 2 + 7 + 0 + 0 = 666.

16682485142700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 935160381 + ... + 935178219.

It is an arithmetic number, because the mean of its divisors is an integer number (82630148832).

Almost surely, 2^{16682485142700} is an apocalyptic number.

16682485142700 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 16682485142700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29746853579520).

16682485142700 is an abundant number, since it is smaller than the sum of its proper divisors (42811222016340).

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

16682485142700 is a wasteful number, since it uses less digits than its factorization.

16682485142700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18068 (or 18052 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 16682485142700 in words is "sixteen trillion, six hundred eighty-two billion, four hundred eighty-five million, one hundred forty-two thousand, seven hundred".