1983391294680 has 640 divisors, whose sum is σ = 6876067968000. Its totient is φ = 512621291520.

The previous prime is 1983391294649. The next prime is 1983391294831. The reversal of 1983391294680 is 864921933891.

1983391294680 is a `hidden beast` number, since 1 + 9 + 8 + 339 + 1 + 294 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3806892820 + ... + 3806893340.

It is an arithmetic number, because the mean of its divisors is an integer number (10743856200).

Almost surely, 2^{1983391294680} is an apocalyptic number.

1983391294680 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 1983391294680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438033984000).

1983391294680 is an abundant number, since it is smaller than the sum of its proper divisors (4892676673320).

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

1983391294680 is a wasteful number, since it uses less digits than its factorization.

1983391294680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 1983391294680 in words is "one trillion, nine hundred eighty-three billion, three hundred ninety-one million, two hundred ninety-four thousand, six hundred eighty".