5145211680 has 288 divisors, whose sum is σ = 18944622144. Its totient is φ = 1170376704.

The previous prime is 5145211667. The next prime is 5145211681. The reversal of 5145211680 is 861125415.

It is not an unprimeable number, because it can be changed into a prime (5145211681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6655774 + ... + 6656546.

It is an arithmetic number, because the mean of its divisors is an integer number (65779938).

Almost surely, 2^5145211680 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 5145211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9472311072).

5145211680 is an abundant number, since it is smaller than the sum of its proper divisors (13799410464).

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

5145211680 is a wasteful number, since it uses less digits than its factorization.

5145211680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 5145211680 is about 71730.1309074506. The cubic root of 5145211680 is about 1726.3721273426.

The spelling of 5145211680 in words is "five billion, one hundred forty-five million, two hundred eleven thousand, six hundred eighty".