11505777222006 has 24 divisors (see below), whose sum is σ = 24932368496880. Its totient is φ = 3834769148496.

The previous prime is 11505777221999. The next prime is 11505777222011. The reversal of 11505777222006 is 60022277750511.

11505777222006 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 577 + 72 + 2 + 2 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×11505777222006² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40682290 + ... + 40964133.

It is an arithmetic number, because the mean of its divisors is an integer number (1038848687370).

Almost surely, 2^{11505777222006} is an apocalyptic number.

11505777222006 is an abundant number, since it is smaller than the sum of its proper divisors (13426591274874).

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

11505777222006 is a wasteful number, since it uses less digits than its factorization.

11505777222006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81654260 (or 81654257 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 11505777222006 in words is "eleven trillion, five hundred five billion, seven hundred seventy-seven million, two hundred twenty-two thousand, six".