19880409960 has 480 divisors, whose sum is σ = 72671278680. Its totient is φ = 4857200640.

The previous prime is 19880409937. The next prime is 19880410027. The reversal of 19880409960 is 6990408891.

It can be written as a sum of positive squares in 12 ways, for example, as 505440324 + 19374969636 = 22482^2 + 139194^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19880409897 and 19880409906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 204952632 + ... + 204952728.

Almost surely, 2^19880409960 is an apocalyptic number.

19880409960 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 19880409960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36335639340).

19880409960 is an abundant number, since it is smaller than the sum of its proper divisors (52790868720).

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

19880409960 is a wasteful number, since it uses less digits than its factorization.

19880409960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 19880409960 in words is "nineteen billion, eight hundred eighty million, four hundred nine thousand, nine hundred sixty".