518991982080 has 960 divisors, whose sum is σ = 1997296164864. Its totient is φ = 113334681600.

The previous prime is 518991982073. The next prime is 518991982123. The reversal of 518991982080 is 80289199815.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×518991982080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4086550977 + ... + 4086551103.

Almost surely, 2^518991982080 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 518991982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998648082432).

518991982080 is an abundant number, since it is smaller than the sum of its proper divisors (1478304182784).

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

518991982080 is a wasteful number, since it uses less digits than its factorization.

518991982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 60.

The spelling of 518991982080 in words is "five hundred eighteen billion, nine hundred ninety-one million, nine hundred eighty-two thousand, eighty".