55808000 has 104 divisors (see below), whose sum is σ = 140557560. Its totient is φ = 22118400.

The previous prime is 55807981. The next prime is 55808009. The reversal of 55808000 is 80855.

It can be written as a sum of positive squares in 4 ways, for example, as 692224 + 55115776 = 832^2 + 7424^2 .

It is a super-2 number, since 2×55808000² = 6229065728000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55808009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511946 + ... + 512054.

It is an arithmetic number, because the mean of its divisors is an integer number (1351515).

Almost surely, 2^55808000 is an apocalyptic number.

55808000 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 55808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70278780).

55808000 is an abundant number, since it is smaller than the sum of its proper divisors (84749560).

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

55808000 is an equidigital number, since it uses as much as digits as its factorization.

55808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 55808000 is about 7470.4752191544. The cubic root of 55808000 is about 382.1484944828.

Adding to 55808000 its reverse (80855), we get a palindrome (55888855).

The spelling of 55808000 in words is "fifty-five million, eight hundred eight thousand".