516556100116 has 96 divisors (see below), whose sum is σ = 1152047232000. Its totient is φ = 197291220480.

The previous prime is 516556100107. The next prime is 516556100117. The reversal of 516556100116 is 611001655615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516556100117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18969751 + ... + 18996961.

It is an arithmetic number, because the mean of its divisors is an integer number (12000492000).

Almost surely, 2^516556100116 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 516556100116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576023616000).

516556100116 is an abundant number, since it is smaller than the sum of its proper divisors (635491131884).

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

516556100116 is a wasteful number, since it uses less digits than its factorization.

516556100116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29357 (or 29355 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 516556100116 in words is "five hundred sixteen billion, five hundred fifty-six million, one hundred thousand, one hundred sixteen".