1158312960 has 792 divisors, whose sum is σ = 5096538720. Its totient is φ = 250822656.

The previous prime is 1158312937. The next prime is 1158313007. The reversal of 1158312960 is 692138511.

1158312960 is a `hidden beast` number, since 1 + 1 + 583 + 12 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 60963831 + ... + 60963849.

Almost surely, 2^1158312960 is an apocalyptic number.

1158312960 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 1158312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548269360).

1158312960 is an abundant number, since it is smaller than the sum of its proper divisors (3938225760).

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

1158312960 is an equidigital number, since it uses as much as digits as its factorization.

1158312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1158312960 is about 34033.9971205264. The cubic root of 1158312960 is about 1050.2079588098.

The spelling of 1158312960 in words is "one billion, one hundred fifty-eight million, three hundred twelve thousand, nine hundred sixty".