1168053120 has 384 divisors, whose sum is σ = 4577882400. Its totient is φ = 272056320.

The previous prime is 1168053113. The next prime is 1168053169. The reversal of 1168053120 is 213508611.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1168053120² = 2728696182283468800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422310 + ... + 1423130.

Almost surely, 2^1168053120 is an apocalyptic number.

1168053120 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 1168053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288941200).

1168053120 is an abundant number, since it is smaller than the sum of its proper divisors (3409829280).

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

1168053120 is a wasteful number, since it uses less digits than its factorization.

1168053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1168053120 is about 34176.7921256516. The cubic root of 1168053120 is about 1053.1434506126.

The spelling of 1168053120 in words is "one billion, one hundred sixty-eight million, fifty-three thousand, one hundred twenty".