71571810816 has 160 divisors (see below), whose sum is σ = 231117796800. Its totient is φ = 21688381440.

The previous prime is 71571810781. The next prime is 71571810829. The reversal of 71571810816 is 61801817517.

It is a happy number.

71571810816 is a `hidden beast` number, since 71 + 571 + 8 + 1 + 0 + 8 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83271 + ... + 387398.

It is an arithmetic number, because the mean of its divisors is an integer number (1444486230).

Almost surely, 2^71571810816 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 71571810816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115558898400).

71571810816 is an abundant number, since it is smaller than the sum of its proper divisors (159545985984).

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

71571810816 is a wasteful number, since it uses less digits than its factorization.

71571810816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470707 (or 470685 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 45.

The spelling of 71571810816 in words is "seventy-one billion, five hundred seventy-one million, eight hundred ten thousand, eight hundred sixteen".