516845445120 has 336 divisors, whose sum is σ = 1795975234560. Its totient is φ = 137490726912.

The previous prime is 516845445119. The next prime is 516845445197. The reversal of 516845445120 is 21544548615.

516845445120 is a `hidden beast` number, since 5 + 1 + 6 + 84 + 5 + 445 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176577097 + ... + 176580023.

Almost surely, 2^516845445120 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 516845445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897987617280).

516845445120 is an abundant number, since it is smaller than the sum of its proper divisors (1279129789440).

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

516845445120 is a wasteful number, since it uses less digits than its factorization.

516845445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 516845445120 in words is "five hundred sixteen billion, eight hundred forty-five million, four hundred forty-five thousand, one hundred twenty".