71125961647104 has 3168 divisors, whose sum is σ = 278067152563200. Its totient is φ = 17323484774400.

The previous prime is 71125961647067. The next prime is 71125961647109. The reversal of 71125961647104 is 40174616952117.

71125961647104 is a `hidden beast` number, since 7 + 1 + 1 + 2 + 5 + 9 + 616 + 4 + 7 + 10 + 4 = 666.

71125961647104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (71125961647109) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 477355447222 + ... + 477355447370.

It is an arithmetic number, because the mean of its divisors is an integer number (87773722400).

Almost surely, 2^{71125961647104} 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 71125961647104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139033576281600).

71125961647104 is an abundant number, since it is smaller than the sum of its proper divisors (206941190916096).

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

71125961647104 is a wasteful number, since it uses less digits than its factorization.

71125961647104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 71125961647104 in words is "seventy-one trillion, one hundred twenty-five billion, nine hundred sixty-one million, six hundred forty-seven thousand, one hundred four".