11205343852560 has 1280 divisors, whose sum is σ = 49128575569920. Its totient is φ = 2305060208640.

The previous prime is 11205343852481. The next prime is 11205343852567. The reversal of 11205343852560 is 6525834350211.

It is a happy number.

11205343852560 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 5 + 3 + 4 + 3 + 85 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11205343852567) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 225766467 + ... + 225816093.

It is an arithmetic number, because the mean of its divisors is an integer number (38381699664).

Almost surely, 2^{11205343852560} is an apocalyptic number.

11205343852560 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 11205343852560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24564287784960).

11205343852560 is an abundant number, since it is smaller than the sum of its proper divisors (37923231717360).

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

11205343852560 is a wasteful number, since it uses less digits than its factorization.

11205343852560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49733 (or 49721 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 11205343852560 in words is "eleven trillion, two hundred five billion, three hundred forty-three million, eight hundred fifty-two thousand, five hundred sixty".