19829994912 has 720 divisors, whose sum is σ = 74995683840. Its totient is φ = 5026904064.

The previous prime is 19829994911. The next prime is 19829994929. The reversal of 19829994912 is 21949992891.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 19829994912.

It is not an unprimeable number, because it can be changed into a prime (19829994911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88923633 + ... + 88923855.

It is an arithmetic number, because the mean of its divisors is an integer number (104160672).

Almost surely, 2^19829994912 is an apocalyptic number.

19829994912 is a gapful number since it is divisible by the number (12) 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 19829994912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497841920).

19829994912 is an abundant number, since it is smaller than the sum of its proper divisors (55165688928).

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

19829994912 is a wasteful number, since it uses less digits than its factorization.

19829994912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 277 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 63.

The spelling of 19829994912 in words is "nineteen billion, eight hundred twenty-nine million, nine hundred ninety-four thousand, nine hundred twelve".