81883473408000 has 2808 divisors, whose sum is σ = 341052037629264. Its totient is φ = 18741657600000.

The previous prime is 81883473407987. The next prime is 81883473408007. The reversal of 81883473408000 is 80437438818.

It is a happy number.

81883473408000 is a `hidden beast` number, since 8 + 18 + 83 + 473 + 4 + 0 + 80 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81883473408007) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1997157887980 + ... + 1997157888020.

It is an arithmetic number, because the mean of its divisors is an integer number (121457278358).

Almost surely, 2^{81883473408000} is an apocalyptic number.

81883473408000 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 81883473408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170526018814632).

81883473408000 is an abundant number, since it is smaller than the sum of its proper divisors (259168564221264).

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

81883473408000 is a wasteful number, since it uses less digits than its factorization.

81883473408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 81883473408000 in words is "eighty-one trillion, eight hundred eighty-three billion, four hundred seventy-three million, four hundred eight thousand".