7117916520 has 512 divisors, whose sum is σ = 26255093760. Its totient is φ = 1520640000.

The previous prime is 7117916503. The next prime is 7117916537. The reversal of 7117916520 is 256197117.

It is an interprime number because it is at equal distance from previous prime (7117916503) and next prime (7117916537).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47138445 + ... + 47138595.

It is an arithmetic number, because the mean of its divisors is an integer number (51279480).

Almost surely, 2^7117916520 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 7117916520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13127546880).

7117916520 is an abundant number, since it is smaller than the sum of its proper divisors (19137177240).

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

7117916520 is a wasteful number, since it uses less digits than its factorization.

7117916520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 39.

The square root of 7117916520 is about 84367.7457325962. The cubic root of 7117916520 is about 1923.6126751177.

The spelling of 7117916520 in words is "seven billion, one hundred seventeen million, nine hundred sixteen thousand, five hundred twenty".