5286708000 has 1008 divisors, whose sum is σ = 23267180664. Its totient is φ = 1175731200.

The previous prime is 5286707981. The next prime is 5286708019. The reversal of 5286708000 is 8076825.

It is an interprime number because it is at equal distance from previous prime (5286707981) and next prime (5286708019).

It can be written as a sum of positive squares in 4 ways, for example, as 2721082896 + 2565625104 = 52164^2 + 50652^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 142883982 + ... + 142884018.

Almost surely, 2^5286708000 is an apocalyptic number.

5286708000 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 5286708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11633590332).

5286708000 is an abundant number, since it is smaller than the sum of its proper divisors (17980472664).

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

5286708000 is an equidigital number, since it uses as much as digits as its factorization.

5286708000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5286708000 is about 72709.7517531177. The cubic root of 5286708000 is about 1742.0546477619.

The spelling of 5286708000 in words is "five billion, two hundred eighty-six million, seven hundred eight thousand".