11005656566550 has 48 divisors (see below), whose sum is σ = 28730556096960. Its totient is φ = 2780376395040.

The previous prime is 11005656566503. The next prime is 11005656566561. The reversal of 11005656566550 is 5566565650011.

It is a super-2 number, since 2×11005656566550² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11005656566493 and 11005656566502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1930814092 + ... + 1930819791.

It is an arithmetic number, because the mean of its divisors is an integer number (598553252020).

Almost surely, 2^{11005656566550} is an apocalyptic number.

11005656566550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11005656566550 is an abundant number, since it is smaller than the sum of its proper divisors (17724899530410).

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

11005656566550 is a wasteful number, since it uses less digits than its factorization.

11005656566550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861633917 (or 3861633912 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 51.

The spelling of 11005656566550 in words is "eleven trillion, five billion, six hundred fifty-six million, five hundred sixty-six thousand, five hundred fifty".