11475878400 has 1080 divisors, whose sum is σ = 50758559280. Its totient is φ = 2461777920.

The previous prime is 11475878363. The next prime is 11475878413. The reversal of 11475878400 is 487857411.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 107251147 + ... + 107251253.

It is an arithmetic number, because the mean of its divisors is an integer number (46998666).

Almost surely, 2^11475878400 is an apocalyptic number.

11475878400 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 11475878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25379279640).

11475878400 is an abundant number, since it is smaller than the sum of its proper divisors (39282680880).

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

11475878400 is a wasteful number, since it uses less digits than its factorization.

11475878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 11475878400 in words is "eleven billion, four hundred seventy-five million, eight hundred seventy-eight thousand, four hundred".