5577128256 has 168 divisors, whose sum is σ = 18175565376. Its totient is φ = 1499688960.

The previous prime is 5577128233. The next prime is 5577128281. The reversal of 5577128256 is 6528217755.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×5577128256² = 62208719167747203072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142501 + ... + 177371.

Almost surely, 2^5577128256 is an apocalyptic number.

5577128256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5577128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9087782688).

5577128256 is an abundant number, since it is smaller than the sum of its proper divisors (12598437120).

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

5577128256 is a wasteful number, since it uses less digits than its factorization.

5577128256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34917 (or 34900 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 48.

The square root of 5577128256 is about 74680.1731117437. The cubic root of 5577128256 is about 1773.3870959385.

The spelling of 5577128256 in words is "five billion, five hundred seventy-seven million, one hundred twenty-eight thousand, two hundred fifty-six".