11533012400 has 180 divisors, whose sum is σ = 34711965792. Its totient is φ = 3649927680.

The previous prime is 11533012399. The next prime is 11533012411. The reversal of 11533012400 is 421033511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 232169 + ... + 277431.

Almost surely, 2^11533012400 is an apocalyptic number.

11533012400 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 11533012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17355982896).

11533012400 is an abundant number, since it is smaller than the sum of its proper divisors (23178953392).

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

11533012400 is a wasteful number, since it uses less digits than its factorization.

11533012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45308 (or 45290 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 11533012400 its reverse (421033511), we get a palindrome (11954045911).

The spelling of 11533012400 in words is "eleven billion, five hundred thirty-three million, twelve thousand, four hundred".