11285308800 has 576 divisors, whose sum is σ = 43644706560. Its totient is φ = 2874009600.

The previous prime is 11285308751. The next prime is 11285308813. The reversal of 11285308800 is 880358211.

11285308800 is a `hidden beast` number, since 112 + 8 + 530 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×11285308800² (a number of 21 digits) contains 22 as substring.

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, 17884485 + ... + 17885115.

It is an arithmetic number, because the mean of its divisors is an integer number (75772060).

Almost surely, 2^11285308800 is an apocalyptic number.

11285308800 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 11285308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21822353280).

11285308800 is an abundant number, since it is smaller than the sum of its proper divisors (32359397760).

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

11285308800 is an equidigital number, since it uses as much as digits as its factorization.

11285308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 11285308800 in words is "eleven billion, two hundred eighty-five million, three hundred eight thousand, eight hundred".