81308314828800 has 1224 divisors, whose sum is σ = 303491859652800. Its totient is φ = 20789172633600.

The previous prime is 81308314828723. The next prime is 81308314828817. The reversal of 81308314828800 is 882841380318.

81308314828800 is a `hidden beast` number, since 8 + 1 + 3 + 0 + 83 + 1 + 482 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×81308314828800² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38736690151 + ... + 38736692249.

Almost surely, 2^{81308314828800} is an apocalyptic number.

81308314828800 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 81308314828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151745929826400).

81308314828800 is an abundant number, since it is smaller than the sum of its proper divisors (222183544824000).

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

81308314828800 is a wasteful number, since it uses less digits than its factorization.

81308314828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 81308314828800 in words is "eighty-one trillion, three hundred eight billion, three hundred fourteen million, eight hundred twenty-eight thousand, eight hundred".