1159238080 has 504 divisors, whose sum is σ = 3881957184. Its totient is φ = 326430720.

The previous prime is 1159238053. The next prime is 1159238131. The reversal of 1159238080 is 808329511.

It is a super-2 number, since 2×1159238080² = 2687665852244172800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24664617 + ... + 24664663.

It is an arithmetic number, because the mean of its divisors is an integer number (7702296).

Almost surely, 2^1159238080 is an apocalyptic number.

1159238080 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 1159238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940978592).

1159238080 is an abundant number, since it is smaller than the sum of its proper divisors (2722719104).

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

1159238080 is a wasteful number, since it uses less digits than its factorization.

1159238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 1159238080 is about 34047.5855237930. The cubic root of 1159238080 is about 1050.4874773504.

The spelling of 1159238080 in words is "one billion, one hundred fifty-nine million, two hundred thirty-eight thousand, eighty".