19327539434112 has 1920 divisors, whose sum is σ = 74495033862480. Its totient is φ = 4927271731200.

The previous prime is 19327539434111. The next prime is 19327539434143. The reversal of 19327539434112 is 21143493572391.

19327539434112 is a `hidden beast` number, since 1 + 9 + 3 + 27 + 539 + 43 + 41 + 1 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1108505756736 + 18219033677376 = 1052856^2 + 4268376^2 .

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

It is not an unprimeable number, because it can be changed into a prime (19327539434111) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 37097004412 + ... + 37097004932.

Almost surely, 2^{19327539434112} is an apocalyptic number.

19327539434112 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 19327539434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37247516931240).

19327539434112 is an abundant number, since it is smaller than the sum of its proper divisors (55167494428368).

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

19327539434112 is a wasteful number, since it uses less digits than its factorization.

19327539434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 724 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 19327539434112 in words is "nineteen trillion, three hundred twenty-seven billion, five hundred thirty-nine million, four hundred thirty-four thousand, one hundred twelve".