5385856500 has 72 divisors (see below), whose sum is σ = 16990596168. Its totient is φ = 1436227200.

The previous prime is 5385856459. The next prime is 5385856519. The reversal of 5385856500 is 56585835.

5385856500 is a `hidden beast` number, since 5 + 3 + 8 + 585 + 65 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 467078544 + 4918777956 = 21612^2 + 70134^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593929 + ... + 602928.

Almost surely, 2^5385856500 is an apocalyptic number.

5385856500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5385856500 is an abundant number, since it is smaller than the sum of its proper divisors (11604739668).

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

5385856500 is a wasteful number, since it uses less digits than its factorization.

5385856500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196882 (or 1196867 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 5385856500 is about 73388.3948591329. The cubic root of 5385856500 is about 1752.8776057625.

The spelling of 5385856500 in words is "five billion, three hundred eighty-five million, eight hundred fifty-six thousand, five hundred".