11034878400 has 1008 divisors, whose sum is σ = 50518954080. Its totient is φ = 2322432000.

The previous prime is 11034878377. The next prime is 11034878417. The reversal of 11034878400 is 487843011.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27518200 + ... + 27518600.

It is an arithmetic number, because the mean of its divisors is an integer number (50118010).

Almost surely, 2^11034878400 is an apocalyptic number.

11034878400 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 11034878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25259477040).

11034878400 is an abundant number, since it is smaller than the sum of its proper divisors (39484075680).

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

11034878400 is a wasteful number, since it uses less digits than its factorization.

11034878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11034878400 in words is "eleven billion, thirty-four million, eight hundred seventy-eight thousand, four hundred".