11253352202400 has 576 divisors, whose sum is σ = 45697275187200. Its totient is φ = 2336867635200.

The previous prime is 11253352202387. The next prime is 11253352202413. The reversal of 11253352202400 is 420225335211.

It is an interprime number because it is at equal distance from previous prime (11253352202387) and next prime (11253352202413).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302499001 + ... + 302536199.

It is an arithmetic number, because the mean of its divisors is an integer number (79335547200).

Almost surely, 2^{11253352202400} is an apocalyptic number.

11253352202400 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 11253352202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22848637593600).

11253352202400 is an abundant number, since it is smaller than the sum of its proper divisors (34443922984800).

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

11253352202400 is a wasteful number, since it uses less digits than its factorization.

11253352202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38877 (or 38864 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 11253352202400 its reverse (420225335211), we get a palindrome (11673577537611).

The spelling of 11253352202400 in words is "eleven trillion, two hundred fifty-three billion, three hundred fifty-two million, two hundred two thousand, four hundred".