1155608467200 has 2268 divisors, whose sum is σ = 4974027110640. Its totient is φ = 264956313600.

The previous prime is 1155608467183. The next prime is 1155608467207. The reversal of 1155608467200 is 27648065511.

1155608467200 is a `hidden beast` number, since 1 + 1 + 5 + 560 + 8 + 4 + 67 + 20 + 0 = 666.

It is a super-4 number, since 4×1155608467200⁴ (a number of 49 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155608467207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 12984364756 + ... + 12984364844.

Almost surely, 2^{1155608467200} is an apocalyptic number.

1155608467200 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 1155608467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487013555320).

1155608467200 is an abundant number, since it is smaller than the sum of its proper divisors (3818418643440).

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

1155608467200 is an equidigital number, since it uses as much as digits as its factorization.

1155608467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1155608467200 in words is "one trillion, one hundred fifty-five billion, six hundred eight million, four hundred sixty-seven thousand, two hundred".