11250335510400 has 768 divisors, whose sum is σ = 44677026201600. Its totient is φ = 2430773452800.

The previous prime is 11250335510387. The next prime is 11250335510429. The reversal of 11250335510400 is 401553305211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 591148885 + ... + 591167915.

It is an arithmetic number, because the mean of its divisors is an integer number (58173211200).

Almost surely, 2^{11250335510400} is an apocalyptic number.

11250335510400 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 11250335510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22338513100800).

11250335510400 is an abundant number, since it is smaller than the sum of its proper divisors (33426690691200).

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

11250335510400 is a wasteful number, since it uses less digits than its factorization.

11250335510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19547 (or 19530 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 11250335510400 its reverse (401553305211), we get a palindrome (11651888815611).

The spelling of 11250335510400 in words is "eleven trillion, two hundred fifty billion, three hundred thirty-five million, five hundred ten thousand, four hundred".