11260727242416 has 180 divisors, whose sum is σ = 33968020630752. Its totient is φ = 3480358392576.

The previous prime is 11260727242381. The next prime is 11260727242439. The reversal of 11260727242416 is 61424272706211.

11260727242416 is a `hidden beast` number, since 1 + 1 + 2 + 60 + 72 + 72 + 42 + 416 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138790 + ... + 4747706.

Almost surely, 2^{11260727242416} is an apocalyptic number.

11260727242416 is a gapful number since it is divisible by the number (16) 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 11260727242416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16984010315376).

11260727242416 is an abundant number, since it is smaller than the sum of its proper divisors (22707293388336).

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

11260727242416 is a wasteful number, since it uses less digits than its factorization.

11260727242416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609016 (or 4608988 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

Adding to 11260727242416 its reverse (61424272706211), we get a palindrome (72684999948627).

The spelling of 11260727242416 in words is "eleven trillion, two hundred sixty billion, seven hundred twenty-seven million, two hundred forty-two thousand, four hundred sixteen".