81834907800 has 96 divisors (see below), whose sum is σ = 254380147200. Its totient is φ = 21763121280.

The previous prime is 81834907747. The next prime is 81834907829. The reversal of 81834907800 is 870943818.

It is a super-3 number, since 3×81834907800³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 81834907800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34381 + ... + 406019.

It is an arithmetic number, because the mean of its divisors is an integer number (2649793200).

Almost surely, 2^81834907800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81834907800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127190073600).

81834907800 is an abundant number, since it is smaller than the sum of its proper divisors (172545239400).

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

81834907800 is a wasteful number, since it uses less digits than its factorization.

81834907800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372025 (or 372016 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 81834907800 in words is "eighty-one billion, eight hundred thirty-four million, nine hundred seven thousand, eight hundred".