516487688480 has 96 divisors (see below), whose sum is σ = 1227212985600. Its totient is φ = 205409571840.

The previous prime is 516487688467. The next prime is 516487688489. The reversal of 516487688480 is 84886784615.

It is a super-3 number, since 3×516487688480³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (516487688489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51607637 + ... + 51617643.

It is an arithmetic number, because the mean of its divisors is an integer number (12783468600).

Almost surely, 2^516487688480 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 516487688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613606492800).

516487688480 is an abundant number, since it is smaller than the sum of its proper divisors (710725297120).

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

516487688480 is a wasteful number, since it uses less digits than its factorization.

516487688480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11842 (or 11834 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 65.

The spelling of 516487688480 in words is "five hundred sixteen billion, four hundred eighty-seven million, six hundred eighty-eight thousand, four hundred eighty".