11320010320400 has 60 divisors (see below), whose sum is σ = 27266238600900. Its totient is φ = 4516363952640.

The previous prime is 11320010320361. The next prime is 11320010320417. The reversal of 11320010320400 is 402301002311.

It can be written as a sum of positive squares in 6 ways, for example, as 42406144 + 11319967914256 = 6512^2 + 3364516^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36219755 + ... + 36530954.

It is an arithmetic number, because the mean of its divisors is an integer number (454437310015).

Almost surely, 2^{11320010320400} is an apocalyptic number.

11320010320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11320010320400 is an abundant number, since it is smaller than the sum of its proper divisors (15946228280500).

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

11320010320400 is a wasteful number, since it uses less digits than its factorization.

11320010320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72751116 (or 72751105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11320010320400 its reverse (402301002311), we get a palindrome (11722311322711).

The spelling of 11320010320400 in words is "eleven trillion, three hundred twenty billion, ten million, three hundred twenty thousand, four hundred".