55855800 has 576 divisors, whose sum is σ = 259983360. Its totient is φ = 10368000.

The previous prime is 55855759. The next prime is 55855853. The reversal of 55855800 is 855855.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1801785 + ... + 1801815.

It is an arithmetic number, because the mean of its divisors is an integer number (451360).

Almost surely, 2^55855800 is an apocalyptic number.

55855800 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 55855800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

55855800 is an abundant number, since it is smaller than the sum of its proper divisors (204127560).

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

55855800 is a wasteful number, since it uses less digits than its factorization.

55855800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 55855800 is about 7473.6737953967. The cubic root of 55855800 is about 382.2575677658.

Subtracting from 55855800 its reverse (855855), we obtain a palindrome (54999945).

It can be divided in two parts, 558 and 55800, that multiplied together give a square (31136400 = 5580²).

The spelling of 55855800 in words is "fifty-five million, eight hundred fifty-five thousand, eight hundred".