19870271680 has 112 divisors (see below), whose sum is σ = 54420918336. Its totient is φ = 6769152000.

The previous prime is 19870271633. The next prime is 19870271683. The reversal of 19870271680 is 8617207891.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (19870271683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 323430 + ... + 379930.

Almost surely, 2^19870271680 is an apocalyptic number.

19870271680 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 19870271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27210459168).

19870271680 is an abundant number, since it is smaller than the sum of its proper divisors (34550646656).

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

19870271680 is a wasteful number, since it uses less digits than its factorization.

19870271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56682 (or 56672 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 49.

The spelling of 19870271680 in words is "nineteen billion, eight hundred seventy million, two hundred seventy-one thousand, six hundred eighty".