1159503360 has 320 divisors, whose sum is σ = 4009243392. Its totient is φ = 284819456.

The previous prime is 1159503337. The next prime is 1159503361. The reversal of 1159503360 is 633059511.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159503361) 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 31 ways as a sum of consecutive naturals, for example, 10836427 + ... + 10836533.

Almost surely, 2^1159503360 is an apocalyptic number.

1159503360 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 1159503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004621696).

1159503360 is an abundant number, since it is smaller than the sum of its proper divisors (2849740032).

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

1159503360 is a wasteful number, since it uses less digits than its factorization.

1159503360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 33.

The square root of 1159503360 is about 34051.4810250597. The cubic root of 1159503360 is about 1050.5676024108.

The spelling of 1159503360 in words is "one billion, one hundred fifty-nine million, five hundred three thousand, three hundred sixty".