71059794520320 has 1728 divisors, whose sum is σ = 284180142355200. Its totient is φ = 16272630743040.

The previous prime is 71059794520307. The next prime is 71059794520321. The reversal of 71059794520320 is 2302549795017.

71059794520320 is a `hidden beast` number, since 7 + 1 + 0 + 5 + 9 + 7 + 94 + 520 + 3 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (71059794520321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74564316964 + ... + 74564317916.

It is an arithmetic number, because the mean of its divisors is an integer number (164456100900).

Almost surely, 2^{71059794520320} 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 71059794520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142090071177600).

71059794520320 is an abundant number, since it is smaller than the sum of its proper divisors (213120347834880).

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

71059794520320 is a wasteful number, since it uses less digits than its factorization.

71059794520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 71059794520320 in words is "seventy-one trillion, fifty-nine billion, seven hundred ninety-four million, five hundred twenty thousand, three hundred twenty".