19845296120 has 256 divisors, whose sum is σ = 52174886400. Its totient is φ = 6728417280.

The previous prime is 19845296113. The next prime is 19845296131. The reversal of 19845296120 is 2169254891.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109642430 + ... + 109642610.

It is an arithmetic number, because the mean of its divisors is an integer number (203808150).

Almost surely, 2^19845296120 is an apocalyptic number.

19845296120 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 19845296120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26087443200).

19845296120 is an abundant number, since it is smaller than the sum of its proper divisors (32329590280).

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

19845296120 is a wasteful number, since it uses less digits than its factorization.

19845296120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The spelling of 19845296120 in words is "nineteen billion, eight hundred forty-five million, two hundred ninety-six thousand, one hundred twenty".