5085507600 has 90 divisors (see below), whose sum is σ = 17648136506. Its totient is φ = 1356134400.

The previous prime is 5085507593. The next prime is 5085507601. The reversal of 5085507600 is 67055805.

It can be written as a sum of positive squares in 3 ways, for example, as 45643536 + 5039864064 = 6756^2 + 70992^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (5085507601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 702721 + ... + 709920.

Almost surely, 2^5085507600 is an apocalyptic number.

5085507600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5085507600 is an abundant number, since it is smaller than the sum of its proper divisors (12562628906).

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

5085507600 is a wasteful number, since it uses less digits than its factorization.

5085507600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412665 (or 1412651 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5085507600 is about 71312.7450039612. The cubic root of 5085507600 is about 1719.6686309537.

The spelling of 5085507600 in words is "five billion, eighty-five million, five hundred seven thousand, six hundred".