1158295680360 has 384 divisors, whose sum is σ = 4635018984960. Its totient is φ = 244290816000.

The previous prime is 1158295680349. The next prime is 1158295680361. The reversal of 1158295680360 is 630865928511.

1158295680360 is a `hidden beast` number, since 1 + 1 + 58 + 29 + 568 + 0 + 3 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1158295680297 and 1158295680306.

It is not an unprimeable number, because it can be changed into a prime (1158295680361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108135405 + ... + 108146115.

It is an arithmetic number, because the mean of its divisors is an integer number (12070361940).

Almost surely, 2^{1158295680360} is an apocalyptic number.

1158295680360 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 1158295680360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317509492480).

1158295680360 is an abundant number, since it is smaller than the sum of its proper divisors (3476723304600).

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

1158295680360 is a wasteful number, since it uses less digits than its factorization.

1158295680360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14049 (or 14042 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1158295680360 in words is "one trillion, one hundred fifty-eight billion, two hundred ninety-five million, six hundred eighty thousand, three hundred sixty".