16796867788800 has 3072 divisors, whose sum is σ = 74143425945600. Its totient is φ = 3680501760000.

The previous prime is 16796867788787. The next prime is 16796867788819. The reversal of 16796867788800 is 888776869761.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a self number, because there is not a number n which added to its sum of digits gives 16796867788800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128220364735 + ... + 128220364865.

It is an arithmetic number, because the mean of its divisors is an integer number (24135229800).

Almost surely, 2^{16796867788800} is an apocalyptic number.

16796867788800 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 16796867788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37071712972800).

16796867788800 is an abundant number, since it is smaller than the sum of its proper divisors (57346558156800).

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

16796867788800 is a wasteful number, since it uses less digits than its factorization.

16796867788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2731180032, while the sum is 81.

The spelling of 16796867788800 in words is "sixteen trillion, seven hundred ninety-six billion, eight hundred sixty-seven million, seven hundred eighty-eight thousand, eight hundred".