11554134400 has 96 divisors (see below), whose sum is σ = 29206445400. Its totient is φ = 4514119680.

The previous prime is 11554134373. The next prime is 11554134407. The reversal of 11554134400 is 443145511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11554134407) 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 11 ways as a sum of consecutive naturals, for example, 95616 + ... + 179584.

Almost surely, 2^11554134400 is an apocalyptic number.

11554134400 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 11554134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14603222700).

11554134400 is an abundant number, since it is smaller than the sum of its proper divisors (17652311000).

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

11554134400 is an equidigital number, since it uses as much as digits as its factorization.

11554134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84036 (or 84019 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 11554134400 its reverse (443145511), we get a palindrome (11997279911).

It can be divided in two parts, 115541 and 34400, that added together give a palindrome (149941).

The spelling of 11554134400 in words is "eleven billion, five hundred fifty-four million, one hundred thirty-four thousand, four hundred".