1983735698880 has 224 divisors, whose sum is σ = 6798979430208. Its totient is φ = 487143014400.

The previous prime is 1983735698849. The next prime is 1983735698909. The reversal of 1983735698880 is 888965373891.

It is a super-3 number, since 3×1983735698880³ (a number of 38 digits) contains 333 as substring.

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, 5065300 + ... + 5442860.

It is an arithmetic number, because the mean of its divisors is an integer number (30352586742).

Almost surely, 2^{1983735698880} is an apocalyptic number.

1983735698880 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 1983735698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399489715104).

1983735698880 is an abundant number, since it is smaller than the sum of its proper divisors (4815243731328).

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

1983735698880 is a wasteful number, since it uses less digits than its factorization.

1983735698880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378015 (or 378005 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 75.

The spelling of 1983735698880 in words is "one trillion, nine hundred eighty-three billion, seven hundred thirty-five million, six hundred ninety-eight thousand, eight hundred eighty".