11256273600 has 1008 divisors, whose sum is σ = 46817670144. Its totient is φ = 2331648000.

The previous prime is 11256273599. The next prime is 11256273667. The reversal of 11256273600 is 637265211.

11256273600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 363105585 + ... + 363105615.

Almost surely, 2^11256273600 is an apocalyptic number.

11256273600 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 11256273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408835072).

11256273600 is an abundant number, since it is smaller than the sum of its proper divisors (35561396544).

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

11256273600 is a wasteful number, since it uses less digits than its factorization.

11256273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 11256273600 in words is "eleven billion, two hundred fifty-six million, two hundred seventy-three thousand, six hundred".