11245528800 has 432 divisors, whose sum is σ = 43696703232. Its totient is φ = 2698675200.

The previous prime is 11245528751. The next prime is 11245528813. The reversal of 11245528800 is 882554211.

11245528800 is a `hidden beast` number, since 1 + 1 + 24 + 552 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8473737 + ... + 8475063.

It is an arithmetic number, because the mean of its divisors is an integer number (101149776).

Almost surely, 2^11245528800 is an apocalyptic number.

11245528800 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 11245528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21848351616).

11245528800 is an abundant number, since it is smaller than the sum of its proper divisors (32451174432).

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

11245528800 is a wasteful number, since it uses less digits than its factorization.

11245528800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

It can be divided in two parts, 11245 and 528800, that added together give a palindrome (540045).

The spelling of 11245528800 in words is "eleven billion, two hundred forty-five million, five hundred twenty-eight thousand, eight hundred".