11247229935360 has 360 divisors, whose sum is σ = 40252387600656. Its totient is φ = 2998684385280.

The previous prime is 11247229935313. The next prime is 11247229935379. The reversal of 11247229935360 is 6353992274211.

It is a happy number.

11247229935360 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 7 + 229 + 9 + 353 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11247229935297 and 11247229935306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1017198952 + ... + 1017210008.

Almost surely, 2^{11247229935360} is an apocalyptic number.

11247229935360 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 11247229935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20126193800328).

11247229935360 is an abundant number, since it is smaller than the sum of its proper divisors (29005157665296).

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

11247229935360 is an equidigital number, since it uses as much as digits as its factorization.

11247229935360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20901 (or 20878 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 11247229935360 in words is "eleven trillion, two hundred forty-seven billion, two hundred twenty-nine million, nine hundred thirty-five thousand, three hundred sixty".