11553214304200 has 48 divisors (see below), whose sum is σ = 28029102540480. Its totient is φ = 4420360253760.

The previous prime is 11553214304153. The next prime is 11553214304207. The reversal of 11553214304200 is 240341235511.

It is not an unprimeable number, because it can be changed into a prime (11553214304207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1255779564 + ... + 1255788763.

It is an arithmetic number, because the mean of its divisors is an integer number (583939636260).

Almost surely, 2^{11553214304200} is an apocalyptic number.

11553214304200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11553214304200 is an abundant number, since it is smaller than the sum of its proper divisors (16475888236280).

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

11553214304200 is a wasteful number, since it uses less digits than its factorization.

11553214304200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511568366 (or 2511568357 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 11553214304200 its reverse (240341235511), we get a palindrome (11793555539711).

The spelling of 11553214304200 in words is "eleven trillion, five hundred fifty-three billion, two hundred fourteen million, three hundred four thousand, two hundred".