5506705611360 has 192 divisors, whose sum is σ = 19743554900160. Its totient is φ = 1432638812160.

The previous prime is 5506705611353. The next prime is 5506705611371. The reversal of 5506705611360 is 631165076055.

5506705611360 is a `hidden beast` number, since 5 + 5 + 0 + 6 + 70 + 561 + 13 + 6 + 0 = 666.

It is a super-2 number, since 2×5506705611360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15368007 + ... + 15722246.

It is an arithmetic number, because the mean of its divisors is an integer number (102831015105).

Almost surely, 2^{5506705611360} is an apocalyptic number.

It is an amenable number.

5506705611360 is an abundant number, since it is smaller than the sum of its proper divisors (14236849288800).

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

5506705611360 is a wasteful number, since it uses less digits than its factorization.

5506705611360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31090318 (or 31090304 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 5506705611360 in words is "five trillion, five hundred six billion, seven hundred five million, six hundred eleven thousand, three hundred sixty".