11006511066405 has 64 divisors (see below), whose sum is σ = 20097535553280. Its totient is φ = 5711042495232.

The previous prime is 11006511066373. The next prime is 11006511066431. The reversal of 11006511066405 is 50466011560011.

11006511066405 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 5 + 1 + 1 + 0 + 6 + 640 + 5 = 666.

It is not a de Polignac number, because 11006511066405 - 2⁵ = 11006511066373 is a prime.

It is a super-2 number, since 2×11006511066405² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11006511066405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69836302 + ... + 69993728.

It is an arithmetic number, because the mean of its divisors is an integer number (314023993020).

Almost surely, 2^{11006511066405} is an apocalyptic number.

11006511066405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11006511066405 is a deficient number, since it is larger than the sum of its proper divisors (9091024486875).

11006511066405 is a wasteful number, since it uses less digits than its factorization.

11006511066405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171475 (or 171469 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11006511066405 in words is "eleven trillion, six billion, five hundred eleven million, sixty-six thousand, four hundred five".