1115025600 has 336 divisors, whose sum is σ = 4000243968. Its totient is φ = 270274560.

The previous prime is 1115025559. The next prime is 1115025619. The reversal of 1115025600 is 65205111.

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 47 ways as a sum of consecutive naturals, for example, 6676717 + ... + 6676883.

It is an arithmetic number, because the mean of its divisors is an integer number (11905488).

Almost surely, 2^1115025600 is an apocalyptic number.

1115025600 is a gapful number since it is divisible by the number (10) 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 1115025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000121984).

1115025600 is an abundant number, since it is smaller than the sum of its proper divisors (2885218368).

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

1115025600 is a wasteful number, since it uses less digits than its factorization.

1115025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 1115025600 is about 33391.9990416866. Note that the first 3 decimals coincide. The cubic root of 1115025600 is about 1036.9590657679.

The spelling of 1115025600 in words is "one billion, one hundred fifteen million, twenty-five thousand, six hundred".