5517907025760 has 1056 divisors, whose sum is σ = 20763325175040. Its totient is φ = 1382800978944.

The previous prime is 5517907025717. The next prime is 5517907025789. The reversal of 5517907025760 is 675207097155.

5517907025760 is a `hidden beast` number, since 5 + 517 + 9 + 0 + 70 + 2 + 57 + 6 + 0 = 666.

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 = 5517907025697 and 5517907025706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 14559121251 + ... + 14559121629.

Almost surely, 2^{5517907025760} 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 5517907025760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10381662587520).

5517907025760 is an abundant number, since it is smaller than the sum of its proper divisors (15245418149280).

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

5517907025760 is an equidigital number, since it uses as much as digits as its factorization.

5517907025760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 4630500, while the sum is 54.

The spelling of 5517907025760 in words is "five trillion, five hundred seventeen billion, nine hundred seven million, twenty-five thousand, seven hundred sixty".