518120064000 has 2640 divisors, whose sum is σ = 2466724740480. Its totient is φ = 105836544000.

The previous prime is 518120063983. The next prime is 518120064029. The reversal of 518120064000 is 460021815.

518120064000 is a `hidden beast` number, since 5 + 1 + 8 + 12 + 0 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8781695971 + ... + 8781696029.

It is an arithmetic number, because the mean of its divisors is an integer number (934365432).

Almost surely, 2^518120064000 is an apocalyptic number.

518120064000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518120064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233362370240).

518120064000 is an abundant number, since it is smaller than the sum of its proper divisors (1948604676480).

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

518120064000 is a wasteful number, since it uses less digits than its factorization.

518120064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 518120064000 its reverse (460021815), we get a palindrome (518580085815).

The spelling of 518120064000 in words is "five hundred eighteen billion, one hundred twenty million, sixty-four thousand".