71082062140320 has 5376 divisors, whose sum is σ = 354680479641600. Its totient is φ = 12989747036160.

The previous prime is 71082062140277. The next prime is 71082062140321. The reversal of 71082062140320 is 2304126028017.

It is a happy number.

71082062140320 is a `hidden beast` number, since 7 + 1 + 0 + 8 + 2 + 0 + 621 + 4 + 0 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71082062140321) by changing a digit.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 310402017966 + ... + 310402018194.

It is an arithmetic number, because the mean of its divisors is an integer number (65974791600).

Almost surely, 2^{71082062140320} is an apocalyptic number.

71082062140320 is a gapful number since it is divisible by the number (70) 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 71082062140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177340239820800).

71082062140320 is an abundant number, since it is smaller than the sum of its proper divisors (283598417501280).

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

71082062140320 is a wasteful number, since it uses less digits than its factorization.

71082062140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 71082062140320 its reverse (2304126028017), we get a palindrome (73386188168337).

The spelling of 71082062140320 in words is "seventy-one trillion, eighty-two billion, sixty-two million, one hundred forty thousand, three hundred twenty".