5275617200 has 120 divisors (see below), whose sum is σ = 14952852480. Its totient is φ = 1750406400.

The previous prime is 5275617143. The next prime is 5275617209. The reversal of 5275617200 is 27165725.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (5275617209) 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 23 ways as a sum of consecutive naturals, for example, 56411 + ... + 117189.

It is an arithmetic number, because the mean of its divisors is an integer number (124607104).

Almost surely, 2^5275617200 is an apocalyptic number.

5275617200 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 5275617200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476426240).

5275617200 is an abundant number, since it is smaller than the sum of its proper divisors (9677235280).

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

5275617200 is a wasteful number, since it uses less digits than its factorization.

5275617200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60835 (or 60824 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 5275617200 is about 72633.4440874175. Note that the first 3 decimals coincide. The cubic root of 5275617200 is about 1740.8355963691.

The spelling of 5275617200 in words is "five billion, two hundred seventy-five million, six hundred seventeen thousand, two hundred".