5160366144 has 280 divisors, whose sum is σ = 15967911168. Its totient is φ = 1646023680.

The previous prime is 5160366143. The next prime is 5160366151. The reversal of 5160366144 is 4416630615.

It is a happy number.

5160366144 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 36 + 614 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 5160366099 and 5160366108.

It is not an unprimeable number, because it can be changed into a prime (5160366143) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 26194654 + ... + 26194850.

Almost surely, 2^5160366144 is an apocalyptic number.

5160366144 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 5160366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983955584).

5160366144 is an abundant number, since it is smaller than the sum of its proper divisors (10807545024).

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

5160366144 is a wasteful number, since it uses less digits than its factorization.

5160366144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5160366144 is about 71835.6885120481. The cubic root of 5160366144 is about 1728.0653910440.

Adding to 5160366144 its reverse (4416630615), we get a palindrome (9576996759).

The spelling of 5160366144 in words is "five billion, one hundred sixty million, three hundred sixty-six thousand, one hundred forty-four".