81967127360 has 56 divisors (see below), whose sum is σ = 195441286536. Its totient is φ = 32743669760.

The previous prime is 81967127293. The next prime is 81967127377. The reversal of 81967127360 is 6372176918.

It can be written as a sum of positive squares in 4 ways, for example, as 2609983744 + 79357143616 = 51088^2 + 281704^2 .

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 81967127299 and 81967127308.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 75224 + ... + 411816.

Almost surely, 2^81967127360 is an apocalyptic number.

81967127360 is a gapful number since it is divisible by the number (80) 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 81967127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97720643268).

81967127360 is an abundant number, since it is smaller than the sum of its proper divisors (113474159176).

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

81967127360 is a wasteful number, since it uses less digits than its factorization.

81967127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337371 (or 337361 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The spelling of 81967127360 in words is "eighty-one billion, nine hundred sixty-seven million, one hundred twenty-seven thousand, three hundred sixty".