5085504000 has 560 divisors, whose sum is σ = 19187265240. Its totient is φ = 1343692800.

The previous prime is 5085503963. The next prime is 5085504013. The reversal of 5085504000 is 4055805.

It can be written as a sum of positive squares in 4 ways, for example, as 1979894016 + 3105609984 = 44496^2 + 55728^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 55 ways as a sum of consecutive naturals, for example, 46655946 + ... + 46656054.

Almost surely, 2^5085504000 is an apocalyptic number.

5085504000 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 5085504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9593632620).

5085504000 is an abundant number, since it is smaller than the sum of its proper divisors (14101761240).

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

5085504000 is an frugal number, since it uses more digits than its factorization.

5085504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5085504000 is about 71312.7197630268. The cubic root of 5085504000 is about 1719.6682251726.

Adding to 5085504000 its reverse (4055805), we get a palindrome (5089559805).

The spelling of 5085504000 in words is "five billion, eighty-five million, five hundred four thousand".