11316326400 has 312 divisors, whose sum is σ = 41582102960. Its totient is φ = 3016949760.

The previous prime is 11316326387. The next prime is 11316326443. The reversal of 11316326400 is 462361311.

11316326400 is a `hidden beast` number, since 1 + 1 + 3 + 16 + 3 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2762754 + ... + 2766846.

Almost surely, 2^11316326400 is an apocalyptic number.

11316326400 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 11316326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20791051480).

11316326400 is an abundant number, since it is smaller than the sum of its proper divisors (30265776560).

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

11316326400 is an equidigital number, since it uses as much as digits as its factorization.

11316326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11316326400 its reverse (462361311), we get a palindrome (11778687711).

The spelling of 11316326400 in words is "eleven billion, three hundred sixteen million, three hundred twenty-six thousand, four hundred".