5286441600 has 864 divisors, whose sum is σ = 21813721020. Its totient is φ = 1216512000.

The previous prime is 5286441599. The next prime is 5286441617. The reversal of 5286441600 is 61446825.

5286441600 is a `hidden beast` number, since 5 + 2 + 8 + 6 + 4 + 41 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1631513664 + 3654927936 = 40392^2 + 60456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 128937580 + ... + 128937620.

Almost surely, 2^5286441600 is an apocalyptic number.

5286441600 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 5286441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10906860510).

5286441600 is an abundant number, since it is smaller than the sum of its proper divisors (16527279420).

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

5286441600 is a wasteful number, since it uses less digits than its factorization.

5286441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5286441600 is about 72707.9197886998. The cubic root of 5286441600 is about 1742.0253862534.

The spelling of 5286441600 in words is "five billion, two hundred eighty-six million, four hundred forty-one thousand, six hundred".