81806382000 has 960 divisors, whose sum is σ = 349306214400. Its totient is φ = 18238348800.

The previous prime is 81806381999. The next prime is 81806382041. The reversal of 81806382000 is 28360818.

81806382000 is a `hidden beast` number, since 8 + 18 + 0 + 638 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113777641 + ... + 113778359.

It is an arithmetic number, because the mean of its divisors is an integer number (363860640).

Almost surely, 2^81806382000 is an apocalyptic number.

81806382000 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 81806382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174653107200).

81806382000 is an abundant number, since it is smaller than the sum of its proper divisors (267499832400).

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

81806382000 is a wasteful number, since it uses less digits than its factorization.

81806382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 81806382000 in words is "eighty-one billion, eight hundred six million, three hundred eighty-two thousand".