81327879360 has 896 divisors, whose sum is σ = 360493056000. Its totient is φ = 17151160320.

The previous prime is 81327879343. The next prime is 81327879361. The reversal of 81327879360 is 6397872318.

81327879360 is a `hidden beast` number, since 8 + 1 + 3 + 278 + 7 + 9 + 360 = 666.

It is a super-2 number, since 2×81327879360² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 81327879297 and 81327879306.

It is not an unprimeable number, because it can be changed into a prime (81327879361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38524705 + ... + 38526815.

It is an arithmetic number, because the mean of its divisors is an integer number (402336000).

Almost surely, 2^81327879360 is an apocalyptic number.

81327879360 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 81327879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180246528000).

81327879360 is an abundant number, since it is smaller than the sum of its proper divisors (279165176640).

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

81327879360 is a wasteful number, since it uses less digits than its factorization.

81327879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 81327879360 in words is "eighty-one billion, three hundred twenty-seven million, eight hundred seventy-nine thousand, three hundred sixty".