1163116800 has 432 divisors, whose sum is σ = 4379719680. Its totient is φ = 301916160.

The previous prime is 1163116789. The next prime is 1163116859. The reversal of 1163116800 is 86113611.

1163116800 is a `hidden beast` number, since 11 + 631 + 16 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9158337 + ... + 9158463.

It is an arithmetic number, because the mean of its divisors is an integer number (10138240).

Almost surely, 2^1163116800 is an apocalyptic number.

1163116800 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 1163116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189859840).

1163116800 is an abundant number, since it is smaller than the sum of its proper divisors (3216602880).

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

1163116800 is a wasteful number, since it uses less digits than its factorization.

1163116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1163116800 is about 34104.4982370361. The cubic root of 1163116800 is about 1051.6577893899.

The spelling of 1163116800 in words is "one billion, one hundred sixty-three million, one hundred sixteen thousand, eight hundred".