5580115671168 has 768 divisors, whose sum is σ = 18590185635840. Its totient is φ = 1657878036480.

The previous prime is 5580115671131. The next prime is 5580115671187. The reversal of 5580115671168 is 8611765110855.

5580115671168 is a `hidden beast` number, since 5 + 5 + 8 + 0 + 1 + 1 + 567 + 11 + 68 = 666.

It is a super-2 number, since 2×5580115671168² (a number of 26 digits) contains 22 as substring.

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

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, 770411355 + ... + 770418597.

It is an arithmetic number, because the mean of its divisors is an integer number (24205970880).

Almost surely, 2^{5580115671168} 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 5580115671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9295092817920).

5580115671168 is an abundant number, since it is smaller than the sum of its proper divisors (13010069964672).

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

5580115671168 is a wasteful number, since it uses less digits than its factorization.

5580115671168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7367 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 54.

The spelling of 5580115671168 in words is "five trillion, five hundred eighty billion, one hundred fifteen million, six hundred seventy-one thousand, one hundred sixty-eight".