5577679441516 has 216 divisors, whose sum is σ = 12480056293824. Its totient is φ = 2173456696320.

The previous prime is 5577679441459. The next prime is 5577679441637. The reversal of 5577679441516 is 6151449767755.

It is a happy number.

It is a super-2 number, since 2×5577679441516² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3440887186 + ... + 3440888806.

Almost surely, 2^{5577679441516} 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 5577679441516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6240028146912).

5577679441516 is an abundant number, since it is smaller than the sum of its proper divisors (6902376852308).

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

5577679441516 is a wasteful number, since it uses less digits than its factorization.

5577679441516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3139 counting only the distinct ones).

The product of its digits is 222264000, while the sum is 67.

The spelling of 5577679441516 in words is "five trillion, five hundred seventy-seven billion, six hundred seventy-nine million, four hundred forty-one thousand, five hundred sixteen".