11311238062080 has 448 divisors, whose sum is σ = 43871262422400. Its totient is φ = 2742115368960.

The previous prime is 11311238062079. The next prime is 11311238062109. The reversal of 11311238062080 is 8026083211311.

11311238062080 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 1 + 23 + 8 + 0 + 620 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11700216 + ... + 12630024.

It is an arithmetic number, because the mean of its divisors is an integer number (97926925050).

Almost surely, 2^{11311238062080} is an apocalyptic number.

11311238062080 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 11311238062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21935631211200).

11311238062080 is an abundant number, since it is smaller than the sum of its proper divisors (32560024360320).

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

11311238062080 is an equidigital number, since it uses as much as digits as its factorization.

11311238062080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929860 (or 929830 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11311238062080 in words is "eleven trillion, three hundred eleven billion, two hundred thirty-eight million, sixty-two thousand, eighty".