71161672344160 has 96 divisors (see below), whose sum is σ = 168191013816000. Its totient is φ = 28452555694080.

The previous prime is 71161672344157. The next prime is 71161672344163. The reversal of 71161672344160 is 6144327616117.

It is an interprime number because it is at equal distance from previous prime (71161672344157) and next prime (71161672344163).

It is a super-2 number, since 2×71161672344160² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71161672344163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5127284101 + ... + 5127297979.

It is an arithmetic number, because the mean of its divisors is an integer number (1751989727250).

Almost surely, 2^{71161672344160} is an apocalyptic number.

It is an amenable number.

71161672344160 is an abundant number, since it is smaller than the sum of its proper divisors (97029341471840).

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

71161672344160 is a wasteful number, since it uses less digits than its factorization.

71161672344160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25224 (or 25216 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 71161672344160 in words is "seventy-one trillion, one hundred sixty-one billion, six hundred seventy-two million, three hundred forty-four thousand, one hundred sixty".