19829301072 has 160 divisors (see below), whose sum is σ = 60317068032. Its totient is φ = 5494874112.

The previous prime is 19829301067. The next prime is 19829301073. The reversal of 19829301072 is 27010392891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19829301073) 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 31 ways as a sum of consecutive naturals, for example, 4187218 + ... + 4191950.

Almost surely, 2^19829301072 is an apocalyptic number.

19829301072 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 19829301072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30158534016).

19829301072 is an abundant number, since it is smaller than the sum of its proper divisors (40487766960).

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

19829301072 is a wasteful number, since it uses less digits than its factorization.

19829301072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5125 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 19829301072 in words is "nineteen billion, eight hundred twenty-nine million, three hundred one thousand, seventy-two".