19985892960 has 192 divisors, whose sum is σ = 69975601920. Its totient is φ = 4753582080.

The previous prime is 19985892959. The next prime is 19985892961. The reversal of 19985892960 is 6929858991.

It is an interprime number because it is at equal distance from previous prime (19985892959) and next prime (19985892961).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 19985892891 and 19985892900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19985892961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244131 + ... + 315549.

It is an arithmetic number, because the mean of its divisors is an integer number (364456260).

Almost surely, 2^19985892960 is an apocalyptic number.

19985892960 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 19985892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34987800960).

19985892960 is an abundant number, since it is smaller than the sum of its proper divisors (49989708960).

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

19985892960 is a wasteful number, since it uses less digits than its factorization.

19985892960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71501 (or 71493 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 66.

The spelling of 19985892960 in words is "nineteen billion, nine hundred eighty-five million, eight hundred ninety-two thousand, nine hundred sixty".