518080590720 has 1536 divisors, whose sum is σ = 2352430080000. Its totient is φ = 104044953600.

The previous prime is 518080590707. The next prime is 518080590721. The reversal of 518080590720 is 27095080815.

It is a happy number.

518080590720 is a `hidden beast` number, since 51 + 8 + 0 + 8 + 0 + 590 + 7 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518080590721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 673706496 + ... + 673707264.

It is an arithmetic number, because the mean of its divisors is an integer number (1531530000).

Almost surely, 2^518080590720 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 518080590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176215040000).

518080590720 is an abundant number, since it is smaller than the sum of its proper divisors (1834349489280).

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

518080590720 is a wasteful number, since it uses less digits than its factorization.

518080590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 518080590720 in words is "five hundred eighteen billion, eighty million, five hundred ninety thousand, seven hundred twenty".