1518252960 has 384 divisors, whose sum is σ = 5706215424. Its totient is φ = 332144640.

The previous prime is 1518252941. The next prime is 1518252961. The reversal of 1518252960 is 692528151.

1518252960 is a nontrivial binomial coefficient, being equal to C(55105, 2).

It is not an unprimeable number, because it can be changed into a prime (1518252961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14189227 + ... + 14189333.

It is an arithmetic number, because the mean of its divisors is an integer number (14859936).

Almost surely, 2^1518252960 is an apocalyptic number.

1518252960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1518252960 is the 55104-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1518252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853107712).

1518252960 is an abundant number, since it is smaller than the sum of its proper divisors (4187962464).

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

1518252960 is a wasteful number, since it uses less digits than its factorization.

1518252960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 1518252960 is about 38964.7656222901. The cubic root of 1518252960 is about 1149.3387401957.

The spelling of 1518252960 in words is "one billion, five hundred eighteen million, two hundred fifty-two thousand, nine hundred sixty".