71138586558 has 48 divisors (see below), whose sum is σ = 154214012160. Its totient is φ = 21867404832.

The previous prime is 71138586553. The next prime is 71138586587. The reversal of 71138586558 is 85568583117.

It is a junction number, because it is equal to n+sod(n) for n = 71138586498 and 71138586507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71138586551) 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 23 ways as a sum of consecutive naturals, for example, 1019785 + ... + 1087307.

It is an arithmetic number, because the mean of its divisors is an integer number (3212791920).

Almost surely, 2^71138586558 is an apocalyptic number.

71138586558 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71138586558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77107006080).

71138586558 is an abundant number, since it is smaller than the sum of its proper divisors (83075425602).

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

71138586558 is a wasteful number, since it uses less digits than its factorization.

71138586558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68593 (or 68580 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 57.

The spelling of 71138586558 in words is "seventy-one billion, one hundred thirty-eight million, five hundred eighty-six thousand, five hundred fifty-eight".