5577337755 has 32 divisors (see below), whose sum is σ = 10816657920. Its totient is φ = 2704163040.

The previous prime is 5577337741. The next prime is 5577337757.

5577337755 is a `hidden beast` number, since 557 + 7 + 3 + 37 + 7 + 55 = 666.

5577337755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5577337755 - 2¹⁸ = 5577075611 is a prime.

It is a super-2 number, since 2×5577337755² = 62213392866696880050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (5577337757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1876407 + ... + 1879376.

It is an arithmetic number, because the mean of its divisors is an integer number (338020560).

Almost surely, 2^5577337755 is an apocalyptic number.

5577337755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5577337755 is a deficient number, since it is larger than the sum of its proper divisors (5239320165).

5577337755 is a wasteful number, since it uses less digits than its factorization.

5577337755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3755808 (or 3755802 counting only the distinct ones).

The product of its digits is 13505625, while the sum is 54.

The square root of 5577337755 is about 74681.5757399374. The cubic root of 5577337755 is about 1773.4093008054.

It can be divided in two parts, 55773 and 37755, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 5577337755 in words is "five billion, five hundred seventy-seven million, three hundred thirty-seven thousand, seven hundred fifty-five".