81011005130760 has 256 divisors, whose sum is σ = 245863915315200. Its totient is φ = 21352148646912.

The previous prime is 81011005130749. The next prime is 81011005130767. The reversal of 81011005130760 is 6703150011018.

It is not an unprimeable number, because it can be changed into a prime (81011005130767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20671344081 + ... + 20671347999.

It is an arithmetic number, because the mean of its divisors is an integer number (960405919200).

Almost surely, 2^{81011005130760} 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 81011005130760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122931957657600).

81011005130760 is an abundant number, since it is smaller than the sum of its proper divisors (164852910184440).

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

81011005130760 is a wasteful number, since it uses less digits than its factorization.

81011005130760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6820 (or 6816 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

Adding to 81011005130760 its reverse (6703150011018), we get a palindrome (87714155141778).

The spelling of 81011005130760 in words is "eighty-one trillion, eleven billion, five million, one hundred thirty thousand, seven hundred sixty".