71506400117 has 16 divisors (see below), whose sum is σ = 75488656320. Its totient is φ = 67546252800.

The previous prime is 71506400111. The next prime is 71506400123. The reversal of 71506400117 is 71100460517.

It is an interprime number because it is at equal distance from previous prime (71506400111) and next prime (71506400123).

It is a cyclic number.

It is not a de Polignac number, because 71506400117 - 2¹⁰ = 71506399093 is a prime.

It is a super-2 number, since 2×71506400117² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71506400111) 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 15 ways as a sum of consecutive naturals, for example, 18225518 + ... + 18229440.

It is an arithmetic number, because the mean of its divisors is an integer number (4718041020).

Almost surely, 2^71506400117 is an apocalyptic number.

It is an amenable number.

71506400117 is a deficient number, since it is larger than the sum of its proper divisors (3982256203).

71506400117 is a wasteful number, since it uses less digits than its factorization.

71506400117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484.

The product of its (nonzero) digits is 5880, while the sum is 32.

The spelling of 71506400117 in words is "seventy-one billion, five hundred six million, four hundred thousand, one hundred seventeen".