11513535430400 has 108 divisors (see below), whose sum is σ = 28499143146432. Its totient is φ = 4605196984320.

The previous prime is 11513535430381. The next prime is 11513535430409. The reversal of 11513535430400 is 403453531511.

It is a super-2 number, since 2×11513535430400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11513535430409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267095249 + ... + 267138351.

Almost surely, 2^{11513535430400} is an apocalyptic number.

11513535430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11513535430400 is an abundant number, since it is smaller than the sum of its proper divisors (16985607716032).

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

11513535430400 is an equidigital number, since it uses as much as digits as its factorization.

11513535430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84866 (or 84847 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 11513535430400 its reverse (403453531511), we get a palindrome (11916988961911).

The spelling of 11513535430400 in words is "eleven trillion, five hundred thirteen billion, five hundred thirty-five million, four hundred thirty thousand, four hundred".