7057180805760 has 384 divisors, whose sum is σ = 25295667284160. Its totient is φ = 1880144732160.

The previous prime is 7057180805749. The next prime is 7057180805761. The reversal of 7057180805760 is 675080817507.

It is a happy number.

7057180805760 is a `hidden beast` number, since 7 + 0 + 57 + 18 + 0 + 8 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 7057180805697 and 7057180805706.

It is not an unprimeable number, because it can be changed into a prime (7057180805761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169651524 + ... + 169693116.

Almost surely, 2^{7057180805760} 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 7057180805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12647833642080).

7057180805760 is an abundant number, since it is smaller than the sum of its proper divisors (18238486478400).

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

7057180805760 is a wasteful number, since it uses less digits than its factorization.

7057180805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42718 (or 42694 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 7057180805760 in words is "seven trillion, fifty-seven billion, one hundred eighty million, eight hundred five thousand, seven hundred sixty".