71312331261600 has 2592 divisors, whose sum is σ = 303546504905280. Its totient is φ = 15646290739200.

The previous prime is 71312331261599. The next prime is 71312331261601. The reversal of 71312331261600 is 616213321317.

71312331261600 is a `hidden beast` number, since 7 + 1 + 3 + 1 + 2 + 3 + 31 + 2 + 616 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71312331261599) and next prime (71312331261601).

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 (71312331261601) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 152703064567 + ... + 152703065033.

It is an arithmetic number, because the mean of its divisors is an integer number (117108991090).

Almost surely, 2^{71312331261600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71312331261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151773252452640).

71312331261600 is an abundant number, since it is smaller than the sum of its proper divisors (232234173643680).

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

71312331261600 is a wasteful number, since it uses less digits than its factorization.

71312331261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 71312331261600 its reverse (616213321317), we get a palindrome (71928544582917).

The spelling of 71312331261600 in words is "seventy-one trillion, three hundred twelve billion, three hundred thirty-one million, two hundred sixty-one thousand, six hundred".