1160268595200 has 2160 divisors, whose sum is σ = 5111324854272. Its totient is φ = 247726080000.

The previous prime is 1160268595163. The next prime is 1160268595237. The reversal of 1160268595200 is 25958620611.

1160268595200 is a `hidden beast` number, since 1 + 1 + 60 + 2 + 68 + 5 + 9 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1160268595163) and next prime (1160268595237).

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

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 143 ways as a sum of consecutive naturals, for example, 16341811165 + ... + 16341811235.

Almost surely, 2^{1160268595200} is an apocalyptic number.

1160268595200 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 1160268595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555662427136).

1160268595200 is an abundant number, since it is smaller than the sum of its proper divisors (3951056259072).

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

1160268595200 is a wasteful number, since it uses less digits than its factorization.

1160268595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1160268595200 in words is "one trillion, one hundred sixty billion, two hundred sixty-eight million, five hundred ninety-five thousand, two hundred".