11011006000056 has 32 divisors (see below), whose sum is σ = 27725554684800. Its totient is φ = 3643930042080.

The previous prime is 11011006000037. The next prime is 11011006000091. The reversal of 11011006000056 is 65000060011011.

11011006000056 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-3 number, since 3×11011006000056³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11011005999996 and 11011006000041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1650327300 + ... + 1650333971.

It is an arithmetic number, because the mean of its divisors is an integer number (866423583900).

Almost surely, 2^{11011006000056} is an apocalyptic number.

It is an amenable number.

11011006000056 is an abundant number, since it is smaller than the sum of its proper divisors (16714548684744).

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

11011006000056 is a wasteful number, since it uses less digits than its factorization.

11011006000056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300661419 (or 3300661415 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 11011006000056 its reverse (65000060011011), we get a palindrome (76011066011067).

The spelling of 11011006000056 in words is "eleven trillion, eleven billion, six million, fifty-six", and thus it is an aban number and an uban number.