19648485360 has 640 divisors, whose sum is σ = 80954818560. Its totient is φ = 4286628864.

The previous prime is 19648485349. The next prime is 19648485377. The reversal of 19648485360 is 6358484691.

19648485360 is a `hidden beast` number, since 1 + 9 + 64 + 8 + 48 + 536 + 0 = 666.

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 = 19648485297 and 19648485306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30557199 + ... + 30557841.

It is an arithmetic number, because the mean of its divisors is an integer number (126491904).

Almost surely, 2^19648485360 is an apocalyptic number.

19648485360 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 19648485360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40477409280).

19648485360 is an abundant number, since it is smaller than the sum of its proper divisors (61306333200).

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

19648485360 is a wasteful number, since it uses less digits than its factorization.

19648485360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 19648485360 in words is "nineteen billion, six hundred forty-eight million, four hundred eighty-five thousand, three hundred sixty".