1159572960 has 288 divisors, whose sum is σ = 4870756800. Its totient is φ = 244629504.

The previous prime is 1159572937. The next prime is 1159572971. The reversal of 1159572960 is 692759511.

1159572960 is a `hidden beast` number, since 1 + 15 + 9 + 572 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126616 + ... + 135464.

It is an arithmetic number, because the mean of its divisors is an integer number (16912350).

Almost surely, 2^1159572960 is an apocalyptic number.

1159572960 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 1159572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435378400).

1159572960 is an abundant number, since it is smaller than the sum of its proper divisors (3711183840).

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

1159572960 is a wasteful number, since it uses less digits than its factorization.

1159572960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8890 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The square root of 1159572960 is about 34052.5029917039. The cubic root of 1159572960 is about 1050.5886223419.

The spelling of 1159572960 in words is "one billion, one hundred fifty-nine million, five hundred seventy-two thousand, nine hundred sixty".