19827812332000 has 96 divisors (see below), whose sum is σ = 48723178480704. Its totient is φ = 7930108480000.

The previous prime is 19827812331997. The next prime is 19827812332007. The reversal of 19827812332000 is 23321872891.

It is a super-2 number, since 2×19827812332000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19827812332007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31290309 + ... + 31917691.

It is an arithmetic number, because the mean of its divisors is an integer number (507533109174).

Almost surely, 2^{19827812332000} is an apocalyptic number.

19827812332000 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 19827812332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24361589240352).

19827812332000 is an abundant number, since it is smaller than the sum of its proper divisors (28895366148704).

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

19827812332000 is an equidigital number, since it uses as much as digits as its factorization.

19827812332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635309 (or 635291 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 19827812332000 in words is "nineteen trillion, eight hundred twenty-seven billion, eight hundred twelve million, three hundred thirty-two thousand".