11111011101008 has 240 divisors, whose sum is σ = 27185122540800. Its totient is φ = 4360371305472.

The previous prime is 11111011101007. The next prime is 11111011101053. The reversal of 11111011101008 is 80010111011111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111011101007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1028887193 + ... + 1028897991.

It is an arithmetic number, because the mean of its divisors is an integer number (113271343920).

Almost surely, 2^{11111011101008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111011101008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13592561270400).

11111011101008 is an abundant number, since it is smaller than the sum of its proper divisors (16074111439792).

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

11111011101008 is a wasteful number, since it uses less digits than its factorization.

11111011101008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11634 (or 11621 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 17.

Adding to 11111011101008 its reverse (80010111011111), we get a palindrome (91121122112119).

The spelling of 11111011101008 in words is "eleven trillion, one hundred eleven billion, eleven million, one hundred one thousand, eight".