19983125760 has 576 divisors, whose sum is σ = 73073817600. Its totient is φ = 4618321920.

The previous prime is 19983125753. The next prime is 19983125843. The reversal of 19983125760 is 6752138991.

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 63 ways as a sum of consecutive naturals, for example, 57258066 + ... + 57258414.

Almost surely, 2^19983125760 is an apocalyptic number.

19983125760 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 19983125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36536908800).

19983125760 is an abundant number, since it is smaller than the sum of its proper divisors (53090691840).

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

19983125760 is a wasteful number, since it uses less digits than its factorization.

19983125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 19983125760 in words is "nineteen billion, nine hundred eighty-three million, one hundred twenty-five thousand, seven hundred sixty".