11057723208 has 512 divisors, whose sum is σ = 38697984000. Its totient is φ = 2855347200.

The previous prime is 11057723207. The next prime is 11057723233. The reversal of 11057723208 is 80232775011.

11057723208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11057723208² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11057723203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107356485 + ... + 107356587.

It is an arithmetic number, because the mean of its divisors is an integer number (75582000).

Almost surely, 2^11057723208 is an apocalyptic number.

11057723208 is a gapful number since it is divisible by the number (18) 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 11057723208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19348992000).

11057723208 is an abundant number, since it is smaller than the sum of its proper divisors (27640260792).

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

11057723208 is a wasteful number, since it uses less digits than its factorization.

11057723208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 11057723208 in words is "eleven billion, fifty-seven million, seven hundred twenty-three thousand, two hundred eight".