16800029095680 has 288 divisors, whose sum is σ = 59788618848000. Its totient is φ = 4467093884928.

The previous prime is 16800029095669. The next prime is 16800029095699. The reversal of 16800029095680 is 8659092000861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11291871 + ... + 12692769.

It is an arithmetic number, because the mean of its divisors is an integer number (207599371000).

Almost surely, 2^{16800029095680} is an apocalyptic number.

16800029095680 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 16800029095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29894309424000).

16800029095680 is an abundant number, since it is smaller than the sum of its proper divisors (42988589752320).

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

16800029095680 is a wasteful number, since it uses less digits than its factorization.

16800029095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401276 (or 1401256 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 16800029095680 in words is "sixteen trillion, eight hundred billion, twenty-nine million, ninety-five thousand, six hundred eighty".