518053680 has 240 divisors, whose sum is σ = 1844837280. Its totient is φ = 130056192.

The previous prime is 518053673. The next prime is 518053681. The reversal of 518053680 is 86350815.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (518053681) 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, 897552 + ... + 898128.

It is an arithmetic number, because the mean of its divisors is an integer number (7686822).

Almost surely, 2^518053680 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 518053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922418640).

518053680 is an abundant number, since it is smaller than the sum of its proper divisors (1326783600).

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

518053680 is a wasteful number, since it uses less digits than its factorization.

518053680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 518053680 is about 22760.7926048282. The cubic root of 518053680 is about 803.1406128877.

The spelling of 518053680 in words is "five hundred eighteen million, fifty-three thousand, six hundred eighty".