5115327360 has 512 divisors, whose sum is σ = 19806474240. Its totient is φ = 1105920000.

The previous prime is 5115327359. The next prime is 5115327361. The reversal of 5115327360 is 637235115.

It is an interprime number because it is at equal distance from previous prime (5115327359) and next prime (5115327361).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5115327361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8511060 + ... + 8511660.

It is an arithmetic number, because the mean of its divisors is an integer number (38684520).

Almost surely, 2^5115327360 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 5115327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9903237120).

5115327360 is an abundant number, since it is smaller than the sum of its proper divisors (14691146880).

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

5115327360 is a wasteful number, since it uses less digits than its factorization.

5115327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 5115327360 is about 71521.5167624401. The cubic root of 5115327360 is about 1723.0232748537.

It can be divided in two parts, 5115 and 327360, that multiplied together give a square (1674446400 = 40920²).

The spelling of 5115327360 in words is "five billion, one hundred fifteen million, three hundred twenty-seven thousand, three hundred sixty".