71751091761 has 16 divisors (see below), whose sum is σ = 106950054720. Its totient is φ = 47540597760.

The previous prime is 71751091751. The next prime is 71751091771. The reversal of 71751091761 is 16719015717.

It is a happy number.

71751091761 is a `hidden beast` number, since 71 + 7 + 510 + 9 + 1 + 7 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (71751091751) and next prime (71751091771).

It is not a de Polignac number, because 71751091761 - 2¹⁰ = 71751090737 is a prime.

It is a super-2 number, since 2×71751091761² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71751091751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8147280 + ... + 8156081.

It is an arithmetic number, because the mean of its divisors is an integer number (6684378420).

Almost surely, 2^71751091761 is an apocalyptic number.

It is an amenable number.

71751091761 is a deficient number, since it is larger than the sum of its proper divisors (35198962959).

71751091761 is a wasteful number, since it uses less digits than its factorization.

71751091761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16303533 (or 16303527 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 45.

The spelling of 71751091761 in words is "seventy-one billion, seven hundred fifty-one million, ninety-one thousand, seven hundred sixty-one".