1188160800 has 72 divisors (see below), whose sum is σ = 3867471216. Its totient is φ = 316842240.

The previous prime is 1188160793. The next prime is 1188160811. The reversal of 1188160800 is 80618811.

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 11 ways as a sum of consecutive naturals, for example, 245134 + ... + 249933.

It is an arithmetic number, because the mean of its divisors is an integer number (53714878).

Almost surely, 2^1188160800 is an apocalyptic number.

1188160800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1188160800 is an abundant number, since it is smaller than the sum of its proper divisors (2679310416).

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

1188160800 is a wasteful number, since it uses less digits than its factorization.

1188160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495090 (or 495077 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The square root of 1188160800 is about 34469.7084408905. The cubic root of 1188160800 is about 1059.1522829549.

The spelling of 1188160800 in words is "one billion, one hundred eighty-eight million, one hundred sixty thousand, eight hundred".