5500756085760 has 1056 divisors, whose sum is σ = 21390441246720. Its totient is φ = 1347419308032.

The previous prime is 5500756085711. The next prime is 5500756085807. The reversal of 5500756085760 is 675806570055.

5500756085760 is a `hidden beast` number, since 5 + 5 + 0 + 0 + 7 + 5 + 60 + 8 + 576 + 0 = 666.

It is a super-3 number, since 3×5500756085760³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5500756085697 and 5500756085706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3865604409 + ... + 3865605831.

Almost surely, 2^{5500756085760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5500756085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10695220623360).

5500756085760 is an abundant number, since it is smaller than the sum of its proper divisors (15889685160960).

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

5500756085760 is a wasteful number, since it uses less digits than its factorization.

5500756085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 54.

The spelling of 5500756085760 in words is "five trillion, five hundred billion, seven hundred fifty-six million, eighty-five thousand, seven hundred sixty".