81427319882496 has 432 divisors, whose sum is σ = 274930316064768. Its totient is φ = 22691587276800.

The previous prime is 81427319882479. The next prime is 81427319882501. The reversal of 81427319882496 is 69428891372418.

It is a happy number.

81427319882496 is a `hidden beast` number, since 8 + 1 + 4 + 27 + 31 + 9 + 8 + 82 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2940556011 + ... + 2940583701.

Almost surely, 2^{81427319882496} 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 81427319882496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137465158032384).

81427319882496 is an abundant number, since it is smaller than the sum of its proper divisors (193502996182272).

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

81427319882496 is a wasteful number, since it uses less digits than its factorization.

81427319882496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32208 (or 32191 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 81427319882496 in words is "eighty-one trillion, four hundred twenty-seven billion, three hundred nineteen million, eight hundred eighty-two thousand, four hundred ninety-six".