71566060416 has 128 divisors (see below), whose sum is σ = 194098329600. Its totient is φ = 23358025728.

The previous prime is 71566060393. The next prime is 71566060427. The reversal of 71566060416 is 61406066517.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×71566060416³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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, 3887265 + ... + 3905631.

It is an arithmetic number, because the mean of its divisors is an integer number (1516393200).

Almost surely, 2^71566060416 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 71566060416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97049164800).

71566060416 is an abundant number, since it is smaller than the sum of its proper divisors (122532269184).

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

71566060416 is a wasteful number, since it uses less digits than its factorization.

71566060416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18596 (or 18584 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 71566060416 in words is "seventy-one billion, five hundred sixty-six million, sixty thousand, four hundred sixteen".