11085710446800 has 1080 divisors, whose sum is σ = 44975573566560. Its totient is φ = 2600512128000.

The previous prime is 11085710446771. The next prime is 11085710446873. The reversal of 11085710446800 is 864401758011.

11085710446800 is a `hidden beast` number, since 1 + 1 + 0 + 85 + 7 + 104 + 468 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×11085710446800² (a number of 27 digits) contains 22 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 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 215 ways as a sum of consecutive naturals, for example, 1027495806 + ... + 1027506594.

Almost surely, 2^{11085710446800} is an apocalyptic number.

11085710446800 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 11085710446800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22487786783280).

11085710446800 is an abundant number, since it is smaller than the sum of its proper divisors (33889863119760).

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

11085710446800 is a wasteful number, since it uses less digits than its factorization.

11085710446800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10895 (or 10841 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 11085710446800 in words is "eleven trillion, eighty-five billion, seven hundred ten million, four hundred forty-six thousand, eight hundred".