11551040400 has 120 divisors (see below), whose sum is σ = 37106285760. Its totient is φ = 3071582720.

The previous prime is 11551040377. The next prime is 11551040429. The reversal of 11551040400 is 404015511.

11551040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417394 + ... + 444206.

It is an arithmetic number, because the mean of its divisors is an integer number (309219048).

Almost surely, 2^11551040400 is an apocalyptic number.

11551040400 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 11551040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18553142880).

11551040400 is an abundant number, since it is smaller than the sum of its proper divisors (25555245360).

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

11551040400 is a wasteful number, since it uses less digits than its factorization.

11551040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27193 (or 27182 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 11551040400 its reverse (404015511), we get a palindrome (11955055911).

The spelling of 11551040400 in words is "eleven billion, five hundred fifty-one million, forty thousand, four hundred".