5577138216 has 72 divisors (see below), whose sum is σ = 16273319790. Its totient is φ = 1715339520.

The previous prime is 5577138211. The next prime is 5577138289. The reversal of 5577138216 is 6128317755.

It is a happy number.

5577138216 is a `hidden beast` number, since 557 + 7 + 1 + 3 + 82 + 16 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1346156100 + 4230982116 = 36690^2 + 65046^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5577138216² = 62208941360735325312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5577138211) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2283556 + ... + 2285996.

Almost surely, 2^5577138216 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 5577138216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136659895).

5577138216 is an abundant number, since it is smaller than the sum of its proper divisors (10696181574).

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

5577138216 is a wasteful number, since it uses less digits than its factorization.

5577138216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4907 (or 2459 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 5577138216 is about 74680.2397960799. The cubic root of 5577138216 is about 1773.3881516147.

The spelling of 5577138216 in words is "five billion, five hundred seventy-seven million, one hundred thirty-eight thousand, two hundred sixteen".