71859334680 has 320 divisors, whose sum is σ = 280561596480. Its totient is φ = 16155417600.

The previous prime is 71859334627. The next prime is 71859334681. The reversal of 71859334680 is 8643395817.

71859334680 is a `hidden beast` number, since 7 + 1 + 8 + 593 + 3 + 46 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71859334681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1357510 + ... + 1409450.

It is an arithmetic number, because the mean of its divisors is an integer number (876754989).

Almost surely, 2^71859334680 is an apocalyptic number.

71859334680 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 71859334680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140280798240).

71859334680 is an abundant number, since it is smaller than the sum of its proper divisors (208702261800).

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

71859334680 is a wasteful number, since it uses less digits than its factorization.

71859334680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52032 (or 52019 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 71859334680 in words is "seventy-one billion, eight hundred fifty-nine million, three hundred thirty-four thousand, six hundred eighty".