71257171968 has 216 divisors, whose sum is σ = 217225949850. Its totient is φ = 22500163584.

The previous prime is 71257171963. The next prime is 71257172003. The reversal of 71257171968 is 86917175217.

71257171968 is a `hidden beast` number, since 7 + 1 + 2 + 571 + 7 + 1 + 9 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42482156544 + 28775015424 = 206112^2 + 169632^2 .

It is not an unprimeable number, because it can be changed into a prime (71257171963) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6648598 + ... + 6659306.

Almost surely, 2^71257171968 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 71257171968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108612974925).

71257171968 is an abundant number, since it is smaller than the sum of its proper divisors (145968777882).

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

71257171968 is a wasteful number, since it uses less digits than its factorization.

71257171968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10775 (or 10733 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 54.

The spelling of 71257171968 in words is "seventy-one billion, two hundred fifty-seven million, one hundred seventy-one thousand, nine hundred sixty-eight".