55177488 has 120 divisors (see below), whose sum is σ = 162828120. Its totient is φ = 17418240.

The previous prime is 55177481. The next prime is 55177519. The reversal of 55177488 is 88477155.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 54641664 = 732^2 + 7392^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (55177481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304758 + ... + 304938.

It is an arithmetic number, because the mean of its divisors is an integer number (1356901).

Almost surely, 2^55177488 is an apocalyptic number.

55177488 is a gapful number since it is divisible by the number (58) 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 55177488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81414060).

55177488 is an abundant number, since it is smaller than the sum of its proper divisors (107650632).

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

55177488 is a wasteful number, since it uses less digits than its factorization.

55177488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its digits is 313600, while the sum is 45.

The square root of 55177488 is about 7428.1550872340. The cubic root of 55177488 is about 380.7038846587.

The spelling of 55177488 in words is "fifty-five million, one hundred seventy-seven thousand, four hundred eighty-eight".