11534310400 has 132 divisors (see below), whose sum is σ = 28695255400. Its totient is φ = 4596940800.

The previous prime is 11534310397. The next prime is 11534310421. The reversal of 11534310400 is 401343511.

It is a congruent number.

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, 8933755 + ... + 8935045.

Almost surely, 2^11534310400 is an apocalyptic number.

11534310400 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 11534310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14347627700).

11534310400 is an abundant number, since it is smaller than the sum of its proper divisors (17160945000).

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

11534310400 is a wasteful number, since it uses less digits than its factorization.

11534310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 11534310400 its reverse (401343511), we get a palindrome (11935653911).

The spelling of 11534310400 in words is "eleven billion, five hundred thirty-four million, three hundred ten thousand, four hundred".