1161523200 has 312 divisors, whose sum is σ = 4062736000. Its totient is φ = 291962880.

The previous prime is 1161523193. The next prime is 1161523201. The reversal of 1161523200 is 23251611.

It is a super-2 number, since 2×1161523200² = 2698272288276480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161523201) 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, 5836701 + ... + 5836899.

Almost surely, 2^1161523200 is an apocalyptic number.

1161523200 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 1161523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031368000).

1161523200 is an abundant number, since it is smaller than the sum of its proper divisors (2901212800).

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

1161523200 is a wasteful number, since it uses less digits than its factorization.

1161523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1161523200 is about 34081.1267419374. The cubic root of 1161523200 is about 1051.1772736365.

Adding to 1161523200 its reverse (23251611), we get a palindrome (1184774811).

The spelling of 1161523200 in words is "one billion, one hundred sixty-one million, five hundred twenty-three thousand, two hundred".