11455130400 has 576 divisors, whose sum is σ = 47516958720. Its totient is φ = 2333491200.

The previous prime is 11455130363. The next prime is 11455130431. The reversal of 11455130400 is 403155411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5425345 + ... + 5427455.

It is an arithmetic number, because the mean of its divisors is an integer number (82494720).

Almost surely, 2^11455130400 is an apocalyptic number.

11455130400 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 11455130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23758479360).

11455130400 is an abundant number, since it is smaller than the sum of its proper divisors (36061828320).

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

11455130400 is a wasteful number, since it uses less digits than its factorization.

11455130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 11455130400 its reverse (403155411), we get a palindrome (11858285811).

The spelling of 11455130400 in words is "eleven billion, four hundred fifty-five million, one hundred thirty thousand, four hundred".