5258649600 has 420 divisors, whose sum is σ = 19541937294. Its totient is φ = 1397882880.

The previous prime is 5258649587. The next prime is 5258649601. The reversal of 5258649600 is 69468525.

5258649600 is a `hidden beast` number, since 5 + 2 + 586 + 4 + 9 + 60 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2511212544 + 2747437056 = 50112^2 + 52416^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5258649601) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16588642 + ... + 16588958.

Almost surely, 2^5258649600 is an apocalyptic number.

5258649600 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 5258649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9770968647).

5258649600 is an abundant number, since it is smaller than the sum of its proper divisors (14283287694).

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

5258649600 is an equidigital number, since it uses as much as digits as its factorization.

5258649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5258649600 is about 72516.5470772016. The cubic root of 5258649600 is about 1738.9672825498.

The spelling of 5258649600 in words is "five billion, two hundred fifty-eight million, six hundred forty-nine thousand, six hundred".