1168058880 has 400 divisors, whose sum is σ = 4313589984. Its totient is φ = 301916160.

The previous prime is 1168058869. The next prime is 1168058909. The reversal of 1168058880 is 888508611.

It is a happy number.

1168058880 is a `hidden beast` number, since 1 + 1 + 68 + 0 + 588 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8916415 + ... + 8916545.

Almost surely, 2^1168058880 is an apocalyptic number.

1168058880 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 1168058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156794992).

1168058880 is an abundant number, since it is smaller than the sum of its proper divisors (3145531104).

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

1168058880 is an equidigital number, since it uses as much as digits as its factorization.

1168058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The square root of 1168058880 is about 34176.8763932575. The cubic root of 1168058880 is about 1053.1451817257.

The spelling of 1168058880 in words is "one billion, one hundred sixty-eight million, fifty-eight thousand, eight hundred eighty".