11252759289600 has 432 divisors, whose sum is σ = 38477091996000. Its totient is φ = 2892731842560.

The previous prime is 11252759289587. The next prime is 11252759289647. The reversal of 11252759289600 is 698295725211.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 363574926 + ... + 363605874.

Almost surely, 2^{11252759289600} is an apocalyptic number.

11252759289600 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 11252759289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19238545998000).

11252759289600 is an abundant number, since it is smaller than the sum of its proper divisors (27224332706400).

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

11252759289600 is a wasteful number, since it uses less digits than its factorization.

11252759289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31660 (or 31641 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 57.

The spelling of 11252759289600 in words is "eleven trillion, two hundred fifty-two billion, seven hundred fifty-nine million, two hundred eighty-nine thousand, six hundred".