81863328000 has 288 divisors, whose sum is σ = 274633736832. Its totient is φ = 21611520000.

The previous prime is 81863327981. The next prime is 81863328007. The reversal of 81863328000 is 82336818.

It is a self number, because there is not a number n which added to its sum of digits gives 81863328000.

It is not an unprimeable number, because it can be changed into a prime (81863328007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9691779 + ... + 9700221.

It is an arithmetic number, because the mean of its divisors is an integer number (953589364).

Almost surely, 2^81863328000 is an apocalyptic number.

81863328000 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 81863328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137316868416).

81863328000 is an abundant number, since it is smaller than the sum of its proper divisors (192770408832).

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

81863328000 is a wasteful number, since it uses less digits than its factorization.

81863328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8578 (or 8554 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 81863328000 in words is "eighty-one billion, eight hundred sixty-three million, three hundred twenty-eight thousand".