7115613120 has 504 divisors, whose sum is σ = 30755673312. Its totient is φ = 1478062080.

The previous prime is 7115613119. The next prime is 7115613139. The reversal of 7115613120 is 213165117.

7115613120 is a `hidden beast` number, since 71 + 1 + 561 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×7115613120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2437902 + ... + 2440818.

Almost surely, 2^7115613120 is an apocalyptic number.

7115613120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7115613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377836656).

7115613120 is an abundant number, since it is smaller than the sum of its proper divisors (23640060192).

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

7115613120 is a wasteful number, since it uses less digits than its factorization.

7115613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 7115613120 is about 84354.0936765964. The cubic root of 7115613120 is about 1923.4051552412.

Adding to 7115613120 its reverse (213165117), we get a palindrome (7328778237).

The spelling of 7115613120 in words is "seven billion, one hundred fifteen million, six hundred thirteen thousand, one hundred twenty".