11385878400 has 960 divisors, whose sum is σ = 47136566400. Its totient is φ = 2687385600.

The previous prime is 11385878353. The next prime is 11385878411. The reversal of 11385878400 is 487858311.

It is a happy number.

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

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 104457546 + ... + 104457654.

It is an arithmetic number, because the mean of its divisors is an integer number (49100590).

Almost surely, 2^11385878400 is an apocalyptic number.

11385878400 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 11385878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23568283200).

11385878400 is an abundant number, since it is smaller than the sum of its proper divisors (35750688000).

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

11385878400 is a wasteful number, since it uses less digits than its factorization.

11385878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

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

The spelling of 11385878400 in words is "eleven billion, three hundred eighty-five million, eight hundred seventy-eight thousand, four hundred".