11500310400 has 192 divisors, whose sum is σ = 38904109680. Its totient is φ = 2983772160.

The previous prime is 11500310387. The next prime is 11500310411. The reversal of 11500310400 is 401300511.

11500310400 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 (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11500310400.

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 23 ways as a sum of consecutive naturals, for example, 339012 + ... + 371388.

Almost surely, 2^11500310400 is an apocalyptic number.

11500310400 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 11500310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19452054840).

11500310400 is an abundant number, since it is smaller than the sum of its proper divisors (27403799280).

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

11500310400 is a wasteful number, since it uses less digits than its factorization.

11500310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32441 (or 32424 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 11500310400 its reverse (401300511), we get a palindrome (11901610911).

The spelling of 11500310400 in words is "eleven billion, five hundred million, three hundred ten thousand, four hundred".