55386000 has 240 divisors, whose sum is σ = 205955568. Its totient is φ = 13824000.

The previous prime is 55385977. The next prime is 55386011. The reversal of 55386000 is 68355.

55386000 is a `hidden beast` number, since 5 + 53 + 8 + 600 + 0 = 666.

55386000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 28387584 + 26998416 = 5328^2 + 5196^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 305910 + ... + 306090.

Almost surely, 2^55386000 is an apocalyptic number.

55386000 is a gapful number since it is divisible by the number (50) 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 55386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102977784).

55386000 is an abundant number, since it is smaller than the sum of its proper divisors (150569568).

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

55386000 is a wasteful number, since it uses less digits than its factorization.

55386000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55386000 is about 7442.1771008220. The cubic root of 55386000 is about 381.1828332809.

The spelling of 55386000 in words is "fifty-five million, three hundred eighty-six thousand".