55856800 has 36 divisors (see below), whose sum is σ = 136362366. Its totient is φ = 22342400.

The previous prime is 55856777. The next prime is 55856803. The reversal of 55856800 is 865855.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 28858384 + 26998416 = 5372^2 + 5196^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55856800.

It is not an unprimeable number, because it can be changed into a prime (55856803) 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 5 ways as a sum of consecutive naturals, for example, 34111 + ... + 35710.

Almost surely, 2^55856800 is an apocalyptic number.

55856800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55856800 is an abundant number, since it is smaller than the sum of its proper divisors (80505566).

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

55856800 is a wasteful number, since it uses less digits than its factorization.

55856800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69841 (or 69828 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The square root of 55856800 is about 7473.7406965990. The cubic root of 55856800 is about 382.2598489689.

The spelling of 55856800 in words is "fifty-five million, eight hundred fifty-six thousand, eight hundred".