19071681984 has 504 divisors, whose sum is σ = 61997295360. Its totient is φ = 5808112128.

The previous prime is 19071681971. The next prime is 19071681989. The reversal of 19071681984 is 48918617091.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 19071681984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19071681989) 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 71 ways as a sum of consecutive naturals, for example, 241413657 + ... + 241413735.

Almost surely, 2^19071681984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19071681984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30998647680).

19071681984 is an abundant number, since it is smaller than the sum of its proper divisors (42925613376).

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

19071681984 is an equidigital number, since it uses as much as digits as its factorization.

19071681984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 19071681984 in words is "nineteen billion, seventy-one million, six hundred eighty-one thousand, nine hundred eighty-four".