5085507840 has 576 divisors, whose sum is σ = 20344504320. Its totient is φ = 1055784960.

The previous prime is 5085507839. The next prime is 5085507853. The reversal of 5085507840 is 487055805.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5085507792 and 5085507801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14165581 + ... + 14165939.

It is an arithmetic number, because the mean of its divisors is an integer number (35320320).

Almost surely, 2^5085507840 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 5085507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10172252160).

5085507840 is an abundant number, since it is smaller than the sum of its proper divisors (15258996480).

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

5085507840 is a wasteful number, since it uses less digits than its factorization.

5085507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The square root of 5085507840 is about 71312.7466866899. The cubic root of 5085507840 is about 1719.6686580058.

The spelling of 5085507840 in words is "five billion, eighty-five million, five hundred seven thousand, eight hundred forty".