55005768 has 48 divisors (see below), whose sum is σ = 149370000. Its totient is φ = 18286560.

The previous prime is 55005763. The next prime is 55005793. The reversal of 55005768 is 86750055.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55005763) 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 11 ways as a sum of consecutive naturals, for example, 35163 + ... + 36693.

It is an arithmetic number, because the mean of its divisors is an integer number (3111875).

Almost surely, 2^55005768 is an apocalyptic number.

It is an amenable number.

55005768 is an abundant number, since it is smaller than the sum of its proper divisors (94364232).

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

55005768 is a wasteful number, since it uses less digits than its factorization.

55005768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 55005768 is about 7416.5873553812. The cubic root of 55005768 is about 380.3085398113.

The spelling of 55005768 in words is "fifty-five million, five thousand, seven hundred sixty-eight".