81968235017760 has 1152 divisors, whose sum is σ = 360464639947776. Its totient is φ = 16485830000640.

The previous prime is 81968235017731. The next prime is 81968235017761. The reversal of 81968235017760 is 6771053286918.

81968235017760 is a `hidden beast` number, since 8 + 1 + 9 + 68 + 2 + 3 + 501 + 7 + 7 + 60 = 666.

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 (81968235017761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 883032150 + ... + 883124970.

It is an arithmetic number, because the mean of its divisors is an integer number (312903333288).

Almost surely, 2^{81968235017760} is an apocalyptic number.

81968235017760 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 81968235017760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180232319973888).

81968235017760 is an abundant number, since it is smaller than the sum of its proper divisors (278496404930016).

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

81968235017760 is a wasteful number, since it uses less digits than its factorization.

81968235017760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93178 (or 93167 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 81968235017760 in words is "eighty-one trillion, nine hundred sixty-eight billion, two hundred thirty-five million, seventeen thousand, seven hundred sixty".