518968878120 has 1536 divisors, whose sum is σ = 2322722304000. Its totient is φ = 100087695360.

The previous prime is 518968878119. The next prime is 518968878121. The reversal of 518968878120 is 21878869815.

518968878120 is a `hidden beast` number, since 518 + 96 + 8 + 8 + 7 + 8 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (518968878119) and next prime (518968878121).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (518968878121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1771224694 + ... + 1771224986.

It is an arithmetic number, because the mean of its divisors is an integer number (1512189000).

Almost surely, 2^518968878120 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 518968878120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161361152000).

518968878120 is an abundant number, since it is smaller than the sum of its proper divisors (1803753425880).

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

518968878120 is a wasteful number, since it uses less digits than its factorization.

518968878120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 63.

The spelling of 518968878120 in words is "five hundred eighteen billion, nine hundred sixty-eight million, eight hundred seventy-eight thousand, one hundred twenty".