55360800 has 288 divisors, whose sum is σ = 219360960. Its totient is φ = 13363200.

The previous prime is 55360763. The next prime is 55360807. The reversal of 55360800 is 806355.

55360800 is a `hidden beast` number, since 5 + 53 + 608 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55360807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237484 + ... + 237716.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^55360800 is an apocalyptic number.

55360800 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 55360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

55360800 is an abundant number, since it is smaller than the sum of its proper divisors (164000160).

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

55360800 is a wasteful number, since it uses less digits than its factorization.

55360800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

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

The square root of 55360800 is about 7440.4838552341. The cubic root of 55360800 is about 381.1250132264.

The spelling of 55360800 in words is "fifty-five million, three hundred sixty thousand, eight hundred".