81070182236160 has 2304 divisors, whose sum is σ = 332237941056000. Its totient is φ = 18822878724096.

The previous prime is 81070182236149. The next prime is 81070182236243. The reversal of 81070182236160 is 6163228107018.

81070182236160 is a `hidden beast` number, since 8 + 1 + 0 + 7 + 0 + 1 + 8 + 2 + 23 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 354018262926 + ... + 354018263154.

It is an arithmetic number, because the mean of its divisors is an integer number (144200495250).

Almost surely, 2^{81070182236160} is an apocalyptic number.

81070182236160 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 81070182236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166118970528000).

81070182236160 is an abundant number, since it is smaller than the sum of its proper divisors (251167758819840).

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

81070182236160 is an frugal number, since it uses more digits than its factorization.

81070182236160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 81070182236160 in words is "eighty-one trillion, seventy billion, one hundred eighty-two million, two hundred thirty-six thousand, one hundred sixty".