5085080000 has 560 divisors, whose sum is σ = 17063337984. Its totient is φ = 1451520000.

The previous prime is 5085079999. The next prime is 5085080041. The reversal of 5085080000 is 805805.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 40039937 + ... + 40040063.

Almost surely, 2^5085080000 is an apocalyptic number.

5085080000 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 5085080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8531668992).

5085080000 is an abundant number, since it is smaller than the sum of its proper divisors (11978257984).

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

5085080000 is a wasteful number, since it uses less digits than its factorization.

5085080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 5085080000 is about 71309.7468793713. The cubic root of 5085080000 is about 1719.6204318374.

Adding to 5085080000 its reverse (805805), we get a palindrome (5085885805).

It can be divided in two parts, 508 and 5080000, that multiplied together give a square (2580640000 = 50800²).

The spelling of 5085080000 in words is "five billion, eighty-five million, eighty thousand".