7117513666560 has 832 divisors, whose sum is σ = 27994442296320. Its totient is φ = 1701052416000.

The previous prime is 7117513666559. The next prime is 7117513666561. The reversal of 7117513666560 is 656663157117.

It is an interprime number because it is at equal distance from previous prime (7117513666559) and next prime (7117513666561).

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 = 7117513666497 and 7117513666506.

It is not an unprimeable number, because it can be changed into a prime (7117513666561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431853520 + ... + 431870000.

Almost surely, 2^{7117513666560} 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 7117513666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13997221148160).

7117513666560 is an abundant number, since it is smaller than the sum of its proper divisors (20876928629760).

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

7117513666560 is a wasteful number, since it uses less digits than its factorization.

7117513666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16601 (or 16573 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 7117513666560 in words is "seven trillion, one hundred seventeen billion, five hundred thirteen million, six hundred sixty-six thousand, five hundred sixty".