5120303760 has 640 divisors, whose sum is σ = 21043653120. Its totient is φ = 1137438720.

The previous prime is 5120303707. The next prime is 5120303779. The reversal of 5120303760 is 673030215.

It is a happy number.

It is a hoax number, since the sum of its digits (27) 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 (27).

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, 37374412 + ... + 37374548.

It is an arithmetic number, because the mean of its divisors is an integer number (32880708).

Almost surely, 2^5120303760 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 5120303760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10521826560).

5120303760 is an abundant number, since it is smaller than the sum of its proper divisors (15923349360).

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

5120303760 is a wasteful number, since it uses less digits than its factorization.

5120303760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 5120303760 is about 71556.2978360396. The cubic root of 5120303760 is about 1723.5818363036.

Adding to 5120303760 its reverse (673030215), we get a palindrome (5793333975).

The spelling of 5120303760 in words is "five billion, one hundred twenty million, three hundred three thousand, seven hundred sixty".