5627115600 has 480 divisors, whose sum is σ = 20325841920. Its totient is φ = 1323294720.

The previous prime is 5627115589. The next prime is 5627115607. The reversal of 5627115600 is 65117265.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5627115607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31436311 + ... + 31436489.

It is an arithmetic number, because the mean of its divisors is an integer number (42345504).

Almost surely, 2^5627115600 is an apocalyptic number.

5627115600 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 5627115600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10162920960).

5627115600 is an abundant number, since it is smaller than the sum of its proper divisors (14698726320).

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

5627115600 is a wasteful number, since it uses less digits than its factorization.

5627115600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 5627115600 is about 75014.1026740972. The cubic root of 5627115600 is about 1778.6695861791.

The spelling of 5627115600 in words is "five billion, six hundred twenty-seven million, one hundred fifteen thousand, six hundred".