5085923040 has 768 divisors, whose sum is σ = 21076070400. Its totient is φ = 1132185600.

The previous prime is 5085923039. The next prime is 5085923071. The reversal of 5085923040 is 403295805.

It is a super-2 number, since 2×5085923040² = 51733226337605683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5085922986 and 5085923004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38823775 + ... + 38823905.

It is an arithmetic number, because the mean of its divisors is an integer number (27442800).

Almost surely, 2^5085923040 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 5085923040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10538035200).

5085923040 is an abundant number, since it is smaller than the sum of its proper divisors (15990147360).

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

5085923040 is a wasteful number, since it uses less digits than its factorization.

5085923040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5085923040 is about 71315.6577477906. The cubic root of 5085923040 is about 1719.7154568060.

The spelling of 5085923040 in words is "five billion, eighty-five million, nine hundred twenty-three thousand, forty".