11316577852800 has 864 divisors, whose sum is σ = 44437009911840. Its totient is φ = 2740186521600.

The previous prime is 11316577852799. The next prime is 11316577852843. The reversal of 11316577852800 is 825877561311.

11316577852800 is a `hidden beast` number, since 1 + 1 + 3 + 16 + 577 + 8 + 52 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4450088329 + ... + 4450090871.

It is an arithmetic number, because the mean of its divisors is an integer number (51431724435).

Almost surely, 2^{11316577852800} is an apocalyptic number.

11316577852800 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 11316577852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22218504955920).

11316577852800 is an abundant number, since it is smaller than the sum of its proper divisors (33120432059040).

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

11316577852800 is a wasteful number, since it uses less digits than its factorization.

11316577852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 11316577852800 in words is "eleven trillion, three hundred sixteen billion, five hundred seventy-seven million, eight hundred fifty-two thousand, eight hundred".