19820006381112 has 128 divisors (see below), whose sum is σ = 58468531568640. Its totient is φ = 5478947360640.

The previous prime is 19820006381053. The next prime is 19820006381137. The reversal of 19820006381112 is 21118360002891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22732083 + ... + 23587869.

It is an arithmetic number, because the mean of its divisors is an integer number (456785402880).

Almost surely, 2^{19820006381112} is an apocalyptic number.

19820006381112 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 19820006381112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29234265784320).

19820006381112 is an abundant number, since it is smaller than the sum of its proper divisors (38648525187528).

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

19820006381112 is a wasteful number, since it uses less digits than its factorization.

19820006381112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860281 (or 860277 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 19820006381112 in words is "nineteen trillion, eight hundred twenty billion, six million, three hundred eighty-one thousand, one hundred twelve".