11661006557655 has 512 divisors, whose sum is σ = 28798156800000. Its totient is φ = 4331832680448.

The previous prime is 11661006557647. The next prime is 11661006557713. The reversal of 11661006557655 is 55675560016611.

11661006557655 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 1 + 0 + 0 + 65 + 576 + 5 + 5 = 666.

11661006557655 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11661006557655 - 2³ = 11661006557647 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 313457746 + ... + 313494944.

It is an arithmetic number, because the mean of its divisors is an integer number (56246400000).

Almost surely, 2^{11661006557655} is an apocalyptic number.

11661006557655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11661006557655 is an abundant number, since it is smaller than the sum of its proper divisors (17137150242345).

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

11661006557655 is a wasteful number, since it uses less digits than its factorization.

11661006557655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37348 (or 37342 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 54.

The spelling of 11661006557655 in words is "eleven trillion, six hundred sixty-one billion, six million, five hundred fifty-seven thousand, six hundred fifty-five".