11099552908800 has 960 divisors, whose sum is σ = 39311861022720. Its totient is φ = 2752639303680.

The previous prime is 11099552908771. The next prime is 11099552908831. The reversal of 11099552908800 is 880925599011.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×11099552908800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 95 ways as a sum of consecutive naturals, for example, 9543897019 + ... + 9543898181.

It is an arithmetic number, because the mean of its divisors is an integer number (40949855232).

Almost surely, 2^{11099552908800} is an apocalyptic number.

11099552908800 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 11099552908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19655930511360).

11099552908800 is an abundant number, since it is smaller than the sum of its proper divisors (28212308113920).

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

11099552908800 is a wasteful number, since it uses less digits than its factorization.

11099552908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 57.

The spelling of 11099552908800 in words is "eleven trillion, ninety-nine billion, five hundred fifty-two million, nine hundred eight thousand, eight hundred".