1690431821120 has 112 divisors (see below), whose sum is σ = 4608803015040. Its totient is φ = 578516649984.

The previous prime is 1690431821059. The next prime is 1690431821159. The reversal of 1690431821120 is 211281340961.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 535466 + ... + 1915094.

It is an arithmetic number, because the mean of its divisors is an integer number (41150026920).

Almost surely, 2^{1690431821120} is an apocalyptic number.

1690431821120 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 1690431821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304401507520).

1690431821120 is an abundant number, since it is smaller than the sum of its proper divisors (2918371193920).

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

1690431821120 is a wasteful number, since it uses less digits than its factorization.

1690431821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380200 (or 1380190 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 1690431821120 in words is "one trillion, six hundred ninety billion, four hundred thirty-one million, eight hundred twenty-one thousand, one hundred twenty".