516580886010 has 128 divisors (see below), whose sum is σ = 1446814877184. Its totient is φ = 115593154560.

The previous prime is 516580885999. The next prime is 516580886023. The reversal of 516580886010 is 10688085615.

It is a super-2 number, since 2×516580886010² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5035630 + ... + 5137190.

It is an arithmetic number, because the mean of its divisors is an integer number (11303241228).

Almost surely, 2^516580886010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516580886010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723407438592).

516580886010 is an abundant number, since it is smaller than the sum of its proper divisors (930233991174).

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

516580886010 is a wasteful number, since it uses less digits than its factorization.

516580886010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102088.

The product of its (nonzero) digits is 460800, while the sum is 48.

The spelling of 516580886010 in words is "five hundred sixteen billion, five hundred eighty million, eight hundred eighty-six thousand, ten".