81079185600 has 1008 divisors, whose sum is σ = 352924522496. Its totient is φ = 17934566400.

The previous prime is 81079185581. The next prime is 81079185643. The reversal of 81079185600 is 658197018.

81079185600 is a `hidden beast` number, since 8 + 1 + 0 + 79 + 18 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2615457585 + ... + 2615457615.

Almost surely, 2^81079185600 is an apocalyptic number.

81079185600 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 81079185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176462261248).

81079185600 is an abundant number, since it is smaller than the sum of its proper divisors (271845336896).

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

81079185600 is an frugal number, since it uses more digits than its factorization.

81079185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 81079185600 in words is "eighty-one billion, seventy-nine million, one hundred eighty-five thousand, six hundred".