55006080 has 64 divisors (see below), whose sum is σ = 175338000. Its totient is φ = 14667776.

The previous prime is 55006037. The next prime is 55006109. The reversal of 55006080 is 8060055.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 55006080.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12405 + ... + 16244.

Almost surely, 2^55006080 is an apocalyptic number.

It is an amenable number.

55006080 is an abundant number, since it is smaller than the sum of its proper divisors (120331920).

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

55006080 is a wasteful number, since it uses less digits than its factorization.

55006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28671 (or 28659 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 55006080 is about 7416.6083892841. The cubic root of 55006080 is about 380.3092588634.

The spelling of 55006080 in words is "fifty-five million, six thousand, eighty".