71120638710 has 256 divisors, whose sum is σ = 210993638400. Its totient is φ = 16901913600.

The previous prime is 71120638703. The next prime is 71120638723. The reversal of 71120638710 is 1783602117.

71120638710 is a `hidden beast` number, since 7 + 1 + 1 + 2 + 0 + 638 + 7 + 10 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82794261 + ... + 82795119.

It is an arithmetic number, because the mean of its divisors is an integer number (824193900).

Almost surely, 2^71120638710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71120638710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105496819200).

71120638710 is an abundant number, since it is smaller than the sum of its proper divisors (139872999690).

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

71120638710 is a wasteful number, since it uses less digits than its factorization.

71120638710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 71120638710 in words is "seventy-one billion, one hundred twenty million, six hundred thirty-eight thousand, seven hundred ten".