1693880680800 has 1152 divisors, whose sum is σ = 7002001843200. Its totient is φ = 345489408000.

The previous prime is 1693880680781. The next prime is 1693880680861. The reversal of 1693880680800 is 80860883961.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2976942916 + ... + 2976943484.

It is an arithmetic number, because the mean of its divisors is an integer number (6078126600).

Almost surely, 2^{1693880680800} is an apocalyptic number.

1693880680800 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 1693880680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501000921600).

1693880680800 is an abundant number, since it is smaller than the sum of its proper divisors (5308121162400).

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

1693880680800 is a wasteful number, since it uses less digits than its factorization.

1693880680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The spelling of 1693880680800 in words is "one trillion, six hundred ninety-three billion, eight hundred eighty million, six hundred eighty thousand, eight hundred".