11251403213200 has 120 divisors (see below), whose sum is σ = 27320514339456. Its totient is φ = 4452526848000.

The previous prime is 11251403213179. The next prime is 11251403213213. The reversal of 11251403213200 is 231230415211.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42344760 + ... + 42609640.

Almost surely, 2^{11251403213200} is an apocalyptic number.

11251403213200 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 11251403213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660257169728).

11251403213200 is an abundant number, since it is smaller than the sum of its proper divisors (16069111126256).

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

11251403213200 is a wasteful number, since it uses less digits than its factorization.

11251403213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266033 (or 266022 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 11251403213200 its reverse (231230415211), we get a palindrome (11482633628411).

The spelling of 11251403213200 in words is "eleven trillion, two hundred fifty-one billion, four hundred three million, two hundred thirteen thousand, two hundred".