5065441920 has 1024 divisors, whose sum is σ = 23124787200. Its totient is φ = 1030164480.

The previous prime is 5065441859. The next prime is 5065441949. The reversal of 5065441920 is 291445605.

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

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 127 ways as a sum of consecutive naturals, for example, 107775337 + ... + 107775383.

It is an arithmetic number, because the mean of its divisors is an integer number (22582800).

Almost surely, 2^5065441920 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 5065441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11562393600).

5065441920 is an abundant number, since it is smaller than the sum of its proper divisors (18059345280).

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

5065441920 is an equidigital number, since it uses as much as digits as its factorization.

5065441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

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

The square root of 5065441920 is about 71171.9180576160. The cubic root of 5065441920 is about 1717.4039075927.

It can be divided in two parts, 5065 and 441920, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 5065441920 in words is "five billion, sixty-five million, four hundred forty-one thousand, nine hundred twenty".