11501100400 has 30 divisors (see below), whose sum is σ = 27631394672. Its totient is φ = 4600440000.

The previous prime is 11501100379. The next prime is 11501100431. The reversal of 11501100400 is 400110511.

11501100400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 14375976 + ... + 14376775.

Almost surely, 2^11501100400 is an apocalyptic number.

11501100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11501100400 is an abundant number, since it is smaller than the sum of its proper divisors (16130294272).

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

11501100400 is a wasteful number, since it uses less digits than its factorization.

11501100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28752769 (or 28752758 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 11501100400 its reverse (400110511), we get a palindrome (11901210911).

The spelling of 11501100400 in words is "eleven billion, five hundred one million, one hundred thousand, four hundred".