81727257600 has 396 divisors, whose sum is σ = 300562303704. Its totient is φ = 21202698240.

The previous prime is 81727257593. The next prime is 81727257659. The reversal of 81727257600 is 675272718.

81727257600 is a `hidden beast` number, since 8 + 1 + 7 + 2 + 72 + 576 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8520007 + ... + 8529593.

Almost surely, 2^81727257600 is an apocalyptic number.

81727257600 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 81727257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150281151852).

81727257600 is an abundant number, since it is smaller than the sum of its proper divisors (218835046104).

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

81727257600 is a wasteful number, since it uses less digits than its factorization.

81727257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9660 (or 9634 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 81727257600 in words is "eighty-one billion, seven hundred twenty-seven million, two hundred fifty-seven thousand, six hundred".