1151161600 has 216 divisors, whose sum is σ = 3011057280. Its totient is φ = 435240960.

The previous prime is 1151161589. The next prime is 1151161603. The reversal of 1151161600 is 61611511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151161603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12934356 + ... + 12934444.

It is an arithmetic number, because the mean of its divisors is an integer number (13940080).

Almost surely, 2^1151161600 is an apocalyptic number.

1151161600 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 1151161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505528640).

1151161600 is an abundant number, since it is smaller than the sum of its proper divisors (1859895680).

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

1151161600 is an equidigital number, since it uses as much as digits as its factorization.

1151161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The square root of 1151161600 is about 33928.7724505323. The cubic root of 1151161600 is about 1048.0421869854.

The spelling of 1151161600 in words is "one billion, one hundred fifty-one million, one hundred sixty-one thousand, six hundred".