11555555506164 has 72 divisors (see below), whose sum is σ = 29483949051648. Its totient is φ = 3815713036800.

The previous prime is 11555555506133. The next prime is 11555555506177. The reversal of 11555555506164 is 46160555555511.

11555555506164 is a `hidden beast` number, since 1 + 15 + 5 + 5 + 5 + 5 + 5 + 5 + 0 + 616 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11555555506164.

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, 188936989 + ... + 188998139.

It is an arithmetic number, because the mean of its divisors is an integer number (409499292384).

Almost surely, 2^{11555555506164} is an apocalyptic number.

It is an amenable number.

11555555506164 is an abundant number, since it is smaller than the sum of its proper divisors (17928393545484).

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

11555555506164 is a wasteful number, since it uses less digits than its factorization.

11555555506164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110325 (or 110320 counting only the distinct ones).

The product of its (nonzero) digits is 11250000, while the sum is 54.

The spelling of 11555555506164 in words is "eleven trillion, five hundred fifty-five billion, five hundred fifty-five million, five hundred six thousand, one hundred sixty-four".