71117561889420 has 96 divisors (see below), whose sum is σ = 199278358442688. Its totient is φ = 18950478446592.

The previous prime is 71117561889419. The next prime is 71117561889421. The reversal of 71117561889420 is 2498816571117.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71117561889419) and next prime (71117561889421).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (71117561889421) 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 31 ways as a sum of consecutive naturals, for example, 734963682 + ... + 735060438.

It is an arithmetic number, because the mean of its divisors is an integer number (2075816233778).

Almost surely, 2^{71117561889420} is an apocalyptic number.

It is an amenable number.

71117561889420 is an abundant number, since it is smaller than the sum of its proper divisors (128160796553268).

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

71117561889420 is a wasteful number, since it uses less digits than its factorization.

71117561889420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105819 (or 105817 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 60.

The spelling of 71117561889420 in words is "seventy-one trillion, one hundred seventeen billion, five hundred sixty-one million, eight hundred eighty-nine thousand, four hundred twenty".