11500112400 has 480 divisors, whose sum is σ = 46131690240. Its totient is φ = 2387804160.

The previous prime is 11500112389. The next prime is 11500112441. The reversal of 11500112400 is 421100511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11500112400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4139812 + ... + 4142588.

It is an arithmetic number, because the mean of its divisors is an integer number (96107688).

Almost surely, 2^11500112400 is an apocalyptic number.

11500112400 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 11500112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23065845120).

11500112400 is an abundant number, since it is smaller than the sum of its proper divisors (34631577840).

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

11500112400 is a wasteful number, since it uses less digits than its factorization.

11500112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 11500112400 its reverse (421100511), we get a palindrome (11921212911).

The spelling of 11500112400 in words is "eleven billion, five hundred million, one hundred twelve thousand, four hundred".