19927141400 has 96 divisors (see below), whose sum is σ = 47491647840. Its totient is φ = 7772943360.

The previous prime is 19927141397. The next prime is 19927141417. The reversal of 19927141400 is 414172991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764572 + ... + 1775828.

It is an arithmetic number, because the mean of its divisors is an integer number (494704665).

Almost surely, 2^19927141400 is an apocalyptic number.

19927141400 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 19927141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23745823920).

19927141400 is an abundant number, since it is smaller than the sum of its proper divisors (27564506440).

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

19927141400 is a wasteful number, since it uses less digits than its factorization.

19927141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11493 (or 11484 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 19927141400 in words is "nineteen billion, nine hundred twenty-seven million, one hundred forty-one thousand, four hundred".