11513350400 has 108 divisors (see below), whose sum is σ = 29417117184. Its totient is φ = 4456704000.

The previous prime is 11513350399. The next prime is 11513350477. The reversal of 11513350400 is 405331511.

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, 169385 + ... + 227415.

Almost surely, 2^11513350400 is an apocalyptic number.

11513350400 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 11513350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708558592).

11513350400 is an abundant number, since it is smaller than the sum of its proper divisors (17903766784).

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

11513350400 is an equidigital number, since it uses as much as digits as its factorization.

11513350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58088 (or 58069 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 11513350400 its reverse (405331511), we get a palindrome (11918681911).

The spelling of 11513350400 in words is "eleven billion, five hundred thirteen million, three hundred fifty thousand, four hundred".