55426800 has 480 divisors, whose sum is σ = 232485120. Its totient is φ = 11059200.

The previous prime is 55426769. The next prime is 55426807. The reversal of 55426800 is 862455.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55426807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2917191 + ... + 2917209.

It is an arithmetic number, because the mean of its divisors is an integer number (484344).

Almost surely, 2^55426800 is an apocalyptic number.

55426800 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 55426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242560).

55426800 is an abundant number, since it is smaller than the sum of its proper divisors (177058320).

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

55426800 is a wasteful number, since it uses less digits than its factorization.

55426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 55426800 is about 7444.9177295656. The cubic root of 55426800 is about 381.2764095295.

The spelling of 55426800 in words is "fifty-five million, four hundred twenty-six thousand, eight hundred".