19979785296 has 200 divisors, whose sum is σ = 61866743400. Its totient is φ = 6202884096.

The previous prime is 19979785283. The next prime is 19979785307. The reversal of 19979785296 is 69258797991.

19979785296 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 97 + 8 + 529 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8693697600 + 11286087696 = 93240^2 + 106236^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2132430 + ... + 2141778.

It is an arithmetic number, because the mean of its divisors is an integer number (309333717).

Almost surely, 2^19979785296 is an apocalyptic number.

19979785296 is a gapful number since it is divisible by the number (16) 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 19979785296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30933371700).

19979785296 is an abundant number, since it is smaller than the sum of its proper divisors (41886958104).

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

19979785296 is a wasteful number, since it uses less digits than its factorization.

19979785296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9483 (or 9468 counting only the distinct ones).

The product of its digits is 154314720, while the sum is 72.

The spelling of 19979785296 in words is "nineteen billion, nine hundred seventy-nine million, seven hundred eighty-five thousand, two hundred ninety-six".