1155368016000 has 2304 divisors, whose sum is σ = 5043556627200. Its totient is φ = 259269120000.

The previous prime is 1155368015999. The next prime is 1155368016017. The reversal of 1155368016000 is 6108635511.

1155368016000 is a `hidden beast` number, since 1 + 15 + 5 + 36 + 8 + 0 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 37269935985 + ... + 37269936015.

It is an arithmetic number, because the mean of its divisors is an integer number (2189043675).

Almost surely, 2^{1155368016000} is an apocalyptic number.

1155368016000 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 1155368016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521778313600).

1155368016000 is an abundant number, since it is smaller than the sum of its proper divisors (3888188611200).

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

1155368016000 is a wasteful number, since it uses less digits than its factorization.

1155368016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

It can be divided in two parts, 115536801 and 6000, that added together give a triangular number (115542801 = T₁₅₂₀₁).

The spelling of 1155368016000 in words is "one trillion, one hundred fifty-five billion, three hundred sixty-eight million, sixteen thousand".