11057186826 has 192 divisors, whose sum is σ = 29722152960. Its totient is φ = 3034856160.

The previous prime is 11057186779. The next prime is 11057186831. The reversal of 11057186826 is 62868175011.

11057186826 is a `hidden beast` number, since 1 + 10 + 571 + 8 + 68 + 2 + 6 = 666.

It is a super-2 number, since 2×11057186826² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13369825 + ... + 13370651.

It is an arithmetic number, because the mean of its divisors is an integer number (154802880).

Almost surely, 2^11057186826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11057186826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14861076480).

11057186826 is an abundant number, since it is smaller than the sum of its proper divisors (18664966134).

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

11057186826 is a wasteful number, since it uses less digits than its factorization.

11057186826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11057186826 in words is "eleven billion, fifty-seven million, one hundred eighty-six thousand, eight hundred twenty-six".