55506464 has 96 divisors (see below), whose sum is σ = 125737920. Its totient is φ = 23933952.

The previous prime is 55506457. The next prime is 55506487. The reversal of 55506464 is 46460555.

55506464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 518699 + ... + 518805.

It is an arithmetic number, because the mean of its divisors is an integer number (1309770).

Almost surely, 2^55506464 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 55506464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62868960).

55506464 is an abundant number, since it is smaller than the sum of its proper divisors (70231456).

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

55506464 is a wasteful number, since it uses less digits than its factorization.

55506464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 55506464 is about 7450.2660355185. The cubic root of 55506464 is about 381.4589894576.

The spelling of 55506464 in words is "fifty-five million, five hundred six thousand, four hundred sixty-four".