55315600 has 30 divisors (see below), whose sum is σ = 132896690. Its totient is φ = 22126080.

The previous prime is 55315597. The next prime is 55315609. The reversal of 55315600 is 651355.

It can be written as a sum of positive squares in 3 ways, for example, as 11861136 + 43454464 = 3444^2 + 6592^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (55315609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68745 + ... + 69544.

Almost surely, 2^55315600 is an apocalyptic number.

55315600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55315600 is an abundant number, since it is smaller than the sum of its proper divisors (77581090).

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

55315600 is a wasteful number, since it uses less digits than its factorization.

55315600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138307 (or 138296 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 55315600 is about 7437.4457981218. The cubic root of 55315600 is about 381.0212602636.

Adding to 55315600 its reverse (651355), we get a palindrome (55966955).

The spelling of 55315600 in words is "fifty-five million, three hundred fifteen thousand, six hundred".