81710600960 has 144 divisors (see below), whose sum is σ = 201292711200. Its totient is φ = 31766642688.

The previous prime is 81710600953. The next prime is 81710600981. The reversal of 81710600960 is 6900601718.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6715202 + ... + 6727358.

It is an arithmetic number, because the mean of its divisors is an integer number (1397866050).

Almost surely, 2^81710600960 is an apocalyptic number.

81710600960 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 81710600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100646355600).

81710600960 is an abundant number, since it is smaller than the sum of its proper divisors (119582110240).

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

81710600960 is a wasteful number, since it uses less digits than its factorization.

81710600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12326 (or 12312 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 81710600960 in words is "eighty-one billion, seven hundred ten million, six hundred thousand, nine hundred sixty".