55535040 has 168 divisors, whose sum is σ = 208501488. Its totient is φ = 13455360.

The previous prime is 55535023. The next prime is 55535047. The reversal of 55535040 is 4053555.

55535040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55534995 and 55535013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55535047) by changing a digit.

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, 30804 + ... + 32556.

Almost surely, 2^55535040 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 55535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104250744).

55535040 is an abundant number, since it is smaller than the sum of its proper divisors (152966448).

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

55535040 is a wasteful number, since it uses less digits than its factorization.

55535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 55535040 is about 7452.1835726182. The cubic root of 55535040 is about 381.5244395044.

Adding to 55535040 its reverse (4053555), we get a palindrome (59588595).

It can be divided in two parts, 55 and 535040, that added together give a triangular number (535095 = T₁₀₃₄).

The spelling of 55535040 in words is "fifty-five million, five hundred thirty-five thousand, forty".