19835041680 has 120 divisors (see below), whose sum is σ = 66675431160. Its totient is φ = 5284362240.

The previous prime is 19835041663. The next prime is 19835041717. The reversal of 19835041680 is 8614053891.

19835041680 is a `hidden beast` number, since 1 + 9 + 83 + 504 + 1 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1405350144 + 18429691536 = 37488^2 + 135756^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 786060 + ... + 810900.

It is an arithmetic number, because the mean of its divisors is an integer number (555628593).

Almost surely, 2^19835041680 is an apocalyptic number.

19835041680 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 19835041680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33337715580).

19835041680 is an abundant number, since it is smaller than the sum of its proper divisors (46840389480).

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

19835041680 is a wasteful number, since it uses less digits than its factorization.

19835041680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25969 (or 25960 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 19835041680 in words is "nineteen billion, eight hundred thirty-five million, forty-one thousand, six hundred eighty".