55258920 has 192 divisors, whose sum is σ = 190944000. Its totient is φ = 13837824.

The previous prime is 55258919. The next prime is 55258933. The reversal of 55258920 is 2985255.

55258920 is a `hidden beast` number, since 5 + 52 + 589 + 20 = 666.

55258920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×55258920³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 699441 + ... + 699519.

It is an arithmetic number, because the mean of its divisors is an integer number (994500).

Almost surely, 2^55258920 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 55258920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95472000).

55258920 is an abundant number, since it is smaller than the sum of its proper divisors (135685080).

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

55258920 is a wasteful number, since it uses less digits than its factorization.

55258920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55258920 is about 7433.6343735753. The cubic root of 55258920 is about 380.8910759782.

The spelling of 55258920 in words is "fifty-five million, two hundred fifty-eight thousand, nine hundred twenty".