71350808256 has 1680 divisors, whose sum is σ = 296663254272. Its totient is φ = 16721510400.

The previous prime is 71350808237. The next prime is 71350808257. The reversal of 71350808256 is 65280805317.

71350808256 is a `hidden beast` number, since 7 + 13 + 508 + 0 + 82 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71350808257) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1740263596 + ... + 1740263636.

Almost surely, 2^71350808256 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 71350808256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148331627136).

71350808256 is an abundant number, since it is smaller than the sum of its proper divisors (225312446016).

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

71350808256 is a wasteful number, since it uses less digits than its factorization.

71350808256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 71350808256 in words is "seventy-one billion, three hundred fifty million, eight hundred eight thousand, two hundred fifty-six".