19585385280 has 280 divisors, whose sum is σ = 69942593160. Its totient is φ = 5202247680.

The previous prime is 19585385257. The next prime is 19585385299. The reversal of 19585385280 is 8258358591.

It is a happy number.

19585385280 is a `hidden beast` number, since 1 + 9 + 5 + 85 + 38 + 528 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 255488256 + 19329897024 = 15984^2 + 139032^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 7282176 + ... + 7284864.

Almost surely, 2^19585385280 is an apocalyptic number.

19585385280 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 19585385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34971296580).

19585385280 is an abundant number, since it is smaller than the sum of its proper divisors (50357207880).

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

19585385280 is a wasteful number, since it uses less digits than its factorization.

19585385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 19585385280 in words is "nineteen billion, five hundred eighty-five million, three hundred eighty-five thousand, two hundred eighty".