1151180800 has 336 divisors, whose sum is σ = 3607929792. Its totient is φ = 353894400.

The previous prime is 1151180747. The next prime is 1151180809. The reversal of 1151180800 is 80811511.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1151180809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15769564 + ... + 15769636.

Almost surely, 2^1151180800 is an apocalyptic number.

1151180800 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 1151180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803964896).

1151180800 is an abundant number, since it is smaller than the sum of its proper divisors (2456748992).

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

1151180800 is an equidigital number, since it uses as much as digits as its factorization.

1151180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 25.

The square root of 1151180800 is about 33929.0553950445. The cubic root of 1151180800 is about 1048.0480136501.

The spelling of 1151180800 in words is "one billion, one hundred fifty-one million, one hundred eighty thousand, eight hundred".