5085091200 has 384 divisors, whose sum is σ = 19767306240. Its totient is φ = 1124352000.

The previous prime is 5085091199. The next prime is 5085091247. The reversal of 5085091200 is 21905805.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 2081980 + ... + 2084420.

It is an arithmetic number, because the mean of its divisors is an integer number (51477360).

Almost surely, 2^5085091200 is an apocalyptic number.

5085091200 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 5085091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9883653120).

5085091200 is an abundant number, since it is smaller than the sum of its proper divisors (14682215040).

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

5085091200 is a wasteful number, since it uses less digits than its factorization.

5085091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 5085091200 is about 71309.8254099672. The cubic root of 5085091200 is about 1719.6216943370.

The spelling of 5085091200 in words is "five billion, eighty-five million, ninety-one thousand, two hundred".