19835106768 has 40 divisors (see below), whose sum is σ = 56934104000. Its totient is φ = 6611702112.

The previous prime is 19835106763. The next prime is 19835106769. The reversal of 19835106768 is 86760153891.

19835106768 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 510 + 67 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19835106763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22956868 + ... + 22957731.

It is an arithmetic number, because the mean of its divisors is an integer number (1423352600).

Almost surely, 2^19835106768 is an apocalyptic number.

19835106768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19835106768 is an abundant number, since it is smaller than the sum of its proper divisors (37098997232).

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

19835106768 is a wasteful number, since it uses less digits than its factorization.

19835106768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45914616 (or 45914604 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 19835106768 in words is "nineteen billion, eight hundred thirty-five million, one hundred six thousand, seven hundred sixty-eight".