5065785144 has 512 divisors, whose sum is σ = 17930649600. Its totient is φ = 1293304320.

The previous prime is 5065785139. The next prime is 5065785169. The reversal of 5065785144 is 4415875605.

5065785144 is a `hidden beast` number, since 5 + 0 + 65 + 78 + 514 + 4 = 666.

It is a super-2 number, since 2×5065785144² = 51324358250342201472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5065785144.

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, 39888009 + ... + 39888135.

It is an arithmetic number, because the mean of its divisors is an integer number (35020800).

Almost surely, 2^5065785144 is an apocalyptic number.

5065785144 is a gapful number since it is divisible by the number (54) 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 5065785144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8965324800).

5065785144 is an abundant number, since it is smaller than the sum of its proper divisors (12864864456).

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

5065785144 is a wasteful number, since it uses less digits than its factorization.

5065785144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 5065785144 is about 71174.3292486835. The cubic root of 5065785144 is about 1717.4426959771.

The spelling of 5065785144 in words is "five billion, sixty-five million, seven hundred eighty-five thousand, one hundred forty-four".