1159868160 has 504 divisors, whose sum is σ = 4584356784. Its totient is φ = 278691840.

The previous prime is 1159868153. The next prime is 1159868161. The reversal of 1159868160 is 618689511.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159868161) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10264264 + ... + 10264376.

It is an arithmetic number, because the mean of its divisors is an integer number (9095946).

Almost surely, 2^1159868160 is an apocalyptic number.

1159868160 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 1159868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292178392).

1159868160 is an abundant number, since it is smaller than the sum of its proper divisors (3424488624).

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

1159868160 is an equidigital number, since it uses as much as digits as its factorization.

1159868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1159868160 is about 34056.8371990119. The cubic root of 1159868160 is about 1050.6777664947.

The spelling of 1159868160 in words is "one billion, one hundred fifty-nine million, eight hundred sixty-eight thousand, one hundred sixty".