7130871754560 has 560 divisors, whose sum is σ = 26135193146832. Its totient is φ = 1844740915200.

The previous prime is 7130871754549. The next prime is 7130871754619. The reversal of 7130871754560 is 654571780317.

7130871754560 is a `hidden beast` number, since 7 + 1 + 3 + 0 + 8 + 7 + 1 + 75 + 4 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2803240306944 + 4327631447616 = 1674288^2 + 2080296^2 .

It is a super-2 number, since 2×7130871754560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7130871754497 and 7130871754506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115390870 + ... + 115452650.

Almost surely, 2^{7130871754560} 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 7130871754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13067596573416).

7130871754560 is an abundant number, since it is smaller than the sum of its proper divisors (19004321392272).

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

7130871754560 is a wasteful number, since it uses less digits than its factorization.

7130871754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61944 (or 61925 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 7130871754560 in words is "seven trillion, one hundred thirty billion, eight hundred seventy-one million, seven hundred fifty-four thousand, five hundred sixty".