11250253321002 has 64 divisors (see below), whose sum is σ = 25431138864000. Its totient is φ = 3685532241024.

The previous prime is 11250253321001. The next prime is 11250253321037. The reversal of 11250253321002 is 20012335205211.

11250253321002 is a `hidden beast` number, since 1 + 1 + 2 + 502 + 53 + 3 + 2 + 100 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11250253321001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11420374 + ... + 12366302.

It is an arithmetic number, because the mean of its divisors is an integer number (397361544750).

Almost surely, 2^{11250253321002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11250253321002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715569432000).

11250253321002 is an abundant number, since it is smaller than the sum of its proper divisors (14180885542998).

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

11250253321002 is a wasteful number, since it uses less digits than its factorization.

11250253321002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949732 (or 949726 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 11250253321002 its reverse (20012335205211), we get a palindrome (31262588526213).

The spelling of 11250253321002 in words is "eleven trillion, two hundred fifty billion, two hundred fifty-three million, three hundred twenty-one thousand, two".