55980288 has 288 divisors, whose sum is σ = 206035200. Its totient is φ = 14598144.

The previous prime is 55980283. The next prime is 55980307. The reversal of 55980288 is 88208955.

55980288 = 34³ + 35³ + ... + 122³.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55980283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628948 + ... + 629036.

It is an arithmetic number, because the mean of its divisors is an integer number (715400).

Almost surely, 2^55980288 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 55980288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103017600).

55980288 is an abundant number, since it is smaller than the sum of its proper divisors (150054912).

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

55980288 is a wasteful number, since it uses less digits than its factorization.

55980288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 55980288 is about 7481.9975942258. The cubic root of 55980288 is about 382.5413411679.

The spelling of 55980288 in words is "fifty-five million, nine hundred eighty thousand, two hundred eighty-eight".