19932075120 has 80 divisors (see below), whose sum is σ = 61940812320. Its totient is φ = 5302198272.

The previous prime is 19932075083. The next prime is 19932075127. The reversal of 19932075120 is 2157023991.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19932075127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3369 + ... + 199688.

It is an arithmetic number, because the mean of its divisors is an integer number (774260154).

Almost surely, 2^19932075120 is an apocalyptic number.

19932075120 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 19932075120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30970406160).

19932075120 is an abundant number, since it is smaller than the sum of its proper divisors (42008737200).

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

19932075120 is a wasteful number, since it uses less digits than its factorization.

19932075120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203482 (or 203476 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 19932075120 in words is "nineteen billion, nine hundred thirty-two million, seventy-five thousand, one hundred twenty".