11253551300200 has 72 divisors (see below), whose sum is σ = 28759333952790. Its totient is φ = 4092200464000.

The previous prime is 11253551300191. The next prime is 11253551300203. The reversal of 11253551300200 is 200315535211.

It can be written as a sum of positive squares in 3 ways, for example, as 10579914171684 + 673637128516 = 3252678^2 + 820754^2 .

It is a super-2 number, since 2×11253551300200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11253551300203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 232487191 + ... + 232535590.

Almost surely, 2^{11253551300200} is an apocalyptic number.

11253551300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11253551300200 is an abundant number, since it is smaller than the sum of its proper divisors (17505782652590).

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

11253551300200 is a wasteful number, since it uses less digits than its factorization.

11253551300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465022819 (or 465022799 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

Adding to 11253551300200 its reverse (200315535211), we get a palindrome (11453866835411).

The spelling of 11253551300200 in words is "eleven trillion, two hundred fifty-three billion, five hundred fifty-one million, three hundred thousand, two hundred".