71529181668 has 288 divisors, whose sum is σ = 221035127040. Its totient is φ = 19050577920.

The previous prime is 71529181643. The next prime is 71529181697. The reversal of 71529181668 is 86618192517.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108213258 + ... + 108213918.

It is an arithmetic number, because the mean of its divisors is an integer number (767483080).

Almost surely, 2^71529181668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71529181668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110517563520).

71529181668 is an abundant number, since it is smaller than the sum of its proper divisors (149505945372).

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

71529181668 is a wasteful number, since it uses less digits than its factorization.

71529181668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1022 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 71529181668 in words is "seventy-one billion, five hundred twenty-nine million, one hundred eighty-one thousand, six hundred sixty-eight".