11553206240200 has 192 divisors, whose sum is σ = 27647516160000. Its totient is φ = 4487870499840.

The previous prime is 11553206240161. The next prime is 11553206240231. The reversal of 11553206240200 is 204260235511.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1255915201 + ... + 1255924399.

It is an arithmetic number, because the mean of its divisors is an integer number (143997480000).

Almost surely, 2^{11553206240200} is an apocalyptic number.

11553206240200 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 11553206240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13823758080000).

11553206240200 is an abundant number, since it is smaller than the sum of its proper divisors (16094309919800).

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

11553206240200 is a wasteful number, since it uses less digits than its factorization.

11553206240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10464 (or 10455 counting only the distinct ones).

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

Adding to 11553206240200 its reverse (204260235511), we get a palindrome (11757466475711).

The spelling of 11553206240200 in words is "eleven trillion, five hundred fifty-three billion, two hundred six million, two hundred forty thousand, two hundred".