81833856000 has 704 divisors, whose sum is σ = 297923982720. Its totient is φ = 19936051200.

The previous prime is 81833855981. The next prime is 81833856011. The reversal of 81833856000 is 65833818.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 843647952 + ... + 843648048.

Almost surely, 2^81833856000 is an apocalyptic number.

81833856000 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 81833856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148961991360).

81833856000 is an abundant number, since it is smaller than the sum of its proper divisors (216090126720).

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

81833856000 is an equidigital number, since it uses as much as digits as its factorization.

81833856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 81833856000 in words is "eighty-one billion, eight hundred thirty-three million, eight hundred fifty-six thousand".