11520110400 has 168 divisors, whose sum is σ = 39785117280. Its totient is φ = 2910320640.

The previous prime is 11520110359. The next prime is 11520110473. The reversal of 11520110400 is 401102511.

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 11520110400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28042 + ... + 154358.

Almost surely, 2^11520110400 is an apocalyptic number.

11520110400 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 11520110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19892558640).

11520110400 is an abundant number, since it is smaller than the sum of its proper divisors (28265006880).

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

11520110400 is a wasteful number, since it uses less digits than its factorization.

11520110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126361 (or 126346 counting only the distinct ones).

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

Adding to 11520110400 its reverse (401102511), we get a palindrome (11921212911).

The spelling of 11520110400 in words is "eleven billion, five hundred twenty million, one hundred ten thousand, four hundred".