19705195728 has 160 divisors (see below), whose sum is σ = 57716305920. Its totient is φ = 6435434880.

The previous prime is 19705195693. The next prime is 19705195759. The reversal of 19705195728 is 82759150791.

19705195728 is a `hidden beast` number, since 1 + 9 + 70 + 519 + 57 + 2 + 8 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5120301 + ... + 5124147.

It is an arithmetic number, because the mean of its divisors is an integer number (360726912).

Almost surely, 2^19705195728 is an apocalyptic number.

19705195728 is a gapful number since it is divisible by the number (18) 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 19705195728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28858152960).

19705195728 is an abundant number, since it is smaller than the sum of its proper divisors (38011110192).

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

19705195728 is a wasteful number, since it uses less digits than its factorization.

19705195728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 54.

The spelling of 19705195728 in words is "nineteen billion, seven hundred five million, one hundred ninety-five thousand, seven hundred twenty-eight".