19937980272 has 160 divisors (see below), whose sum is σ = 59629040640. Its totient is φ = 5622958080.

The previous prime is 19937980219. The next prime is 19937980291. The reversal of 19937980272 is 27208973991.

It is a super-2 number, since 2×19937980272² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13461772 + ... + 13463252.

It is an arithmetic number, because the mean of its divisors is an integer number (372681504).

Almost surely, 2^19937980272 is an apocalyptic number.

19937980272 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 19937980272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29814520320).

19937980272 is an abundant number, since it is smaller than the sum of its proper divisors (39691060368).

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

19937980272 is a wasteful number, since it uses less digits than its factorization.

19937980272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 19937980272 in words is "nineteen billion, nine hundred thirty-seven million, nine hundred eighty thousand, two hundred seventy-two".