81862300800 has 576 divisors, whose sum is σ = 340686528000. Its totient is φ = 18709125120.

The previous prime is 81862300799. The next prime is 81862300801. The reversal of 81862300800 is 800326818.

It is an interprime number because it is at equal distance from previous prime (81862300799) and next prime (81862300801).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (81862300801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9874257 + ... + 9882543.

Almost surely, 2^81862300800 is an apocalyptic number.

81862300800 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 81862300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170343264000).

81862300800 is an abundant number, since it is smaller than the sum of its proper divisors (258824227200).

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

81862300800 is a wasteful number, since it uses less digits than its factorization.

81862300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338 (or 8304 counting only the distinct ones).

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

The spelling of 81862300800 in words is "eighty-one billion, eight hundred sixty-two million, three hundred thousand, eight hundred".