5085329760 has 432 divisors, whose sum is σ = 20422505376. Its totient is φ = 1148829696.

The previous prime is 5085329759. The next prime is 5085329761. The reversal of 5085329760 is 679235805.

It is a happy number.

5085329760 is a `hidden beast` number, since 50 + 8 + 532 + 9 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5085329759) and next prime (5085329761).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5085329761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6843949 + ... + 6844691.

It is an arithmetic number, because the mean of its divisors is an integer number (47274318).

Almost surely, 2^5085329760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5085329760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10211252688).

5085329760 is an abundant number, since it is smaller than the sum of its proper divisors (15337175616).

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

5085329760 is a wasteful number, since it uses less digits than its factorization.

5085329760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5085329760 is about 71311.4980911213. The cubic root of 5085329760 is about 1719.6485851387.

The spelling of 5085329760 in words is "five billion, eighty-five million, three hundred twenty-nine thousand, seven hundred sixty".