55868500 has 48 divisors (see below), whose sum is σ = 126257040. Its totient is φ = 21571200.

The previous prime is 55868473. The next prime is 55868503. The reversal of 55868500 is 586855.

It is a happy number.

55868500 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 3392964 + 52475536 = 1842^2 + 7244^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55868500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55868503) 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 15 ways as a sum of consecutive naturals, for example, 12574 + ... + 16426.

It is an arithmetic number, because the mean of its divisors is an integer number (2630355).

Almost surely, 2^55868500 is an apocalyptic number.

55868500 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 55868500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63128520).

55868500 is an abundant number, since it is smaller than the sum of its proper divisors (70388540).

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

55868500 is a wasteful number, since it uses less digits than its factorization.

55868500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The square root of 55868500 is about 7474.5233961772. The cubic root of 55868500 is about 382.2865370236.

The spelling of 55868500 in words is "fifty-five million, eight hundred sixty-eight thousand, five hundred".