7115281200 has 360 divisors, whose sum is σ = 25777556480. Its totient is φ = 1815436800.

The previous prime is 7115281193. The next prime is 7115281207. The reversal of 7115281200 is 21825117.

7115281200 is a `hidden beast` number, since 7 + 11 + 528 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7115281193) and next prime (7115281207).

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (7115281207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 11494491 + ... + 11495109.

Almost surely, 2^7115281200 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 7115281200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12888778240).

7115281200 is an abundant number, since it is smaller than the sum of its proper divisors (18662275280).

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

7115281200 is a wasteful number, since it uses less digits than its factorization.

7115281200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 7115281200 is about 84352.1262328342. The cubic root of 7115281200 is about 1923.3752479301.

The spelling of 7115281200 in words is "seven billion, one hundred fifteen million, two hundred eighty-one thousand, two hundred".