55858400 has 144 divisors (see below), whose sum is σ = 151584048. Its totient is φ = 19968000.

The previous prime is 55858393. The next prime is 55858409. The reversal of 55858400 is 485855.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55858409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426335 + ... + 426465.

It is an arithmetic number, because the mean of its divisors is an integer number (1052667).

Almost surely, 2^55858400 is an apocalyptic number.

55858400 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 55858400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75792024).

55858400 is an abundant number, since it is smaller than the sum of its proper divisors (95725648).

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

55858400 is a wasteful number, since it uses less digits than its factorization.

55858400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

The square root of 55858400 is about 7473.8477372770. The cubic root of 55858400 is about 382.2634988374.

The spelling of 55858400 in words is "fifty-five million, eight hundred fifty-eight thousand, four hundred".