516563446443030 has 512 divisors, whose sum is σ = 1678961324113920. Its totient is φ = 110543188008960.

The previous prime is 516563446443001. The next prime is 516563446443047. The reversal of 516563446443030 is 30344644365615.

516563446443030 is a `hidden beast` number, since 5 + 1 + 6 + 563 + 4 + 4 + 6 + 4 + 43 + 0 + 30 = 666.

It is a super-2 number, since 2×516563446443030² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 208066467 + ... + 210534513.

It is an arithmetic number, because the mean of its divisors is an integer number (3279221336160).

Almost surely, 2^{516563446443030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516563446443030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839480662056960).

516563446443030 is an abundant number, since it is smaller than the sum of its proper divisors (1162397877670890).

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

516563446443030 is a wasteful number, since it uses less digits than its factorization.

516563446443030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468221 (or 2468215 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

The spelling of 516563446443030 in words is "five hundred sixteen trillion, five hundred sixty-three billion, four hundred forty-six million, four hundred forty-three thousand, thirty".