81140395607712 has 576 divisors, whose sum is σ = 287328184416000. Its totient is φ = 21192870150144.

The previous prime is 81140395607671. The next prime is 81140395607737. The reversal of 81140395607712 is 21770659304118.

81140395607712 is a `hidden beast` number, since 8 + 1 + 1 + 4 + 0 + 3 + 9 + 560 + 7 + 71 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1947239614 + ... + 1947281282.

It is an arithmetic number, because the mean of its divisors is an integer number (498833653500).

It is a 1-persistent number, because it is pandigital, but 2⋅81140395607712 = 162280791215424 is not.

Almost surely, 2^{81140395607712} 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 81140395607712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143664092208000).

81140395607712 is an abundant number, since it is smaller than the sum of its proper divisors (206187788808288).

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

81140395607712 is a wasteful number, since it uses less digits than its factorization.

81140395607712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43493 (or 43482 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 81140395607712 in words is "eighty-one trillion, one hundred forty billion, three hundred ninety-five million, six hundred seven thousand, seven hundred twelve".