71128167516 has 144 divisors (see below), whose sum is σ = 216525254400. Its totient is φ = 19232349696.

The previous prime is 71128167493. The next prime is 71128167563. The reversal of 71128167516 is 61576182117.

71128167516 is a `hidden beast` number, since 7 + 1 + 128 + 1 + 6 + 7 + 516 = 666.

It is a super-2 number, since 2×71128167516² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4823731 + ... + 4838453.

It is an arithmetic number, because the mean of its divisors is an integer number (1503647600).

Almost surely, 2^71128167516 is an apocalyptic number.

71128167516 is a gapful number since it is divisible by the number (76) 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 71128167516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108262627200).

71128167516 is an abundant number, since it is smaller than the sum of its proper divisors (145397086884).

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

71128167516 is a wasteful number, since it uses less digits than its factorization.

71128167516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15768 (or 15763 counting only the distinct ones).

The product of its digits is 141120, while the sum is 45.

The spelling of 71128167516 in words is "seventy-one billion, one hundred twenty-eight million, one hundred sixty-seven thousand, five hundred sixteen".