5579727552 has 448 divisors, whose sum is σ = 19487692800. Its totient is φ = 1532805120.

The previous prime is 5579727509. The next prime is 5579727553. The reversal of 5579727552 is 2557279755.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×5579727552² = 62266719109095825408, which contains 22 as substring.

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

Its product of digits (7717500) is a multiple of the sum of its prime divisors (245).

It is not an unprimeable number, because it can be changed into a prime (5579727553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62693524 + ... + 62693612.

Almost surely, 2^5579727552 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 5579727552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9743846400).

5579727552 is an abundant number, since it is smaller than the sum of its proper divisors (13907965248).

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

5579727552 is a wasteful number, since it uses less digits than its factorization.

5579727552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its digits is 7717500, while the sum is 54.

The square root of 5579727552 is about 74697.5739365075. The cubic root of 5579727552 is about 1773.6625568235.

The spelling of 5579727552 in words is "five billion, five hundred seventy-nine million, seven hundred twenty-seven thousand, five hundred fifty-two".