516636105216 has 640 divisors, whose sum is σ = 1763030016000. Its totient is φ = 133271470080.

The previous prime is 516636105191. The next prime is 516636105301. The reversal of 516636105216 is 612501636615.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1385083206 + ... + 1385083578.

It is an arithmetic number, because the mean of its divisors is an integer number (2754734400).

Almost surely, 2^516636105216 is an apocalyptic number.

516636105216 is a gapful number since it is divisible by the number (56) 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 516636105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881515008000).

516636105216 is an abundant number, since it is smaller than the sum of its proper divisors (1246393910784).

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

516636105216 is a wasteful number, since it uses less digits than its factorization.

516636105216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 516636105216 in words is "five hundred sixteen billion, six hundred thirty-six million, one hundred five thousand, two hundred sixteen".