11209020076800 has 2592 divisors, whose sum is σ = 51493240221696. Its totient is φ = 2262712320000.

The previous prime is 11209020076789. The next prime is 11209020076841. The reversal of 11209020076800 is 867002090211.

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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16411449259 + ... + 16411449941.

Almost surely, 2^{11209020076800} is an apocalyptic number.

11209020076800 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 11209020076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25746620110848).

11209020076800 is an abundant number, since it is smaller than the sum of its proper divisors (40284220144896).

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

11209020076800 is a wasteful number, since it uses less digits than its factorization.

11209020076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11209020076800 in words is "eleven trillion, two hundred nine billion, twenty million, seventy-six thousand, eight hundred".