11512056400 has 240 divisors, whose sum is σ = 30610540800. Its totient is φ = 4134574080.

The previous prime is 11512056389. The next prime is 11512056403. The reversal of 11512056400 is 465021511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11512056403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48167481 + ... + 48167719.

It is an arithmetic number, because the mean of its divisors is an integer number (127543920).

Almost surely, 2^11512056400 is an apocalyptic number.

11512056400 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 11512056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305270400).

11512056400 is an abundant number, since it is smaller than the sum of its proper divisors (19098484400).

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

11512056400 is a wasteful number, since it uses less digits than its factorization.

11512056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 11512056400 its reverse (465021511), we get a palindrome (11977077911).

The spelling of 11512056400 in words is "eleven billion, five hundred twelve million, fifty-six thousand, four hundred".