55278568800 has 576 divisors, whose sum is σ = 246069250560. Its totient is φ = 11662755840.

The previous prime is 55278568771. The next prime is 55278568853. The reversal of 55278568800 is 886587255.

It is a happy number.

55278568800 is a `hidden beast` number, since 5 + 5 + 2 + 78 + 568 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×55278568800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1951539 + ... + 1979661.

It is an arithmetic number, because the mean of its divisors is an integer number (427203560).

Almost surely, 2^55278568800 is an apocalyptic number.

55278568800 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 55278568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123034625280).

55278568800 is an abundant number, since it is smaller than the sum of its proper divisors (190790681760).

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

55278568800 is a wasteful number, since it uses less digits than its factorization.

55278568800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28172 (or 28153 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 55278568800 in words is "fifty-five billion, two hundred seventy-eight million, five hundred sixty-eight thousand, eight hundred".