81130658585760 has 1200 divisors, whose sum is σ = 334574072460936. Its totient is φ = 18513645244416.

The previous prime is 81130658585681. The next prime is 81130658585761. The reversal of 81130658585760 is 6758585603118.

81130658585760 is a `hidden beast` number, since 8 + 1 + 1 + 3 + 0 + 6 + 5 + 8 + 58 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71127025811856 + 10003632773904 = 8433684^2 + 3162852^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (81130658585761) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 22808729902 + ... + 22808733458.

Almost surely, 2^{81130658585760} is an apocalyptic number.

81130658585760 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 81130658585760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167287036230468).

81130658585760 is an abundant number, since it is smaller than the sum of its proper divisors (253443413875176).

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

81130658585760 is an equidigital number, since it uses as much as digits as its factorization.

81130658585760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 81130658585760 in words is "eighty-one trillion, one hundred thirty billion, six hundred fifty-eight million, five hundred eighty-five thousand, seven hundred sixty".