516498016320 has 1344 divisors, whose sum is σ = 2184460634880. Its totient is φ = 115288842240.

The previous prime is 516498016303. The next prime is 516498016327. The reversal of 516498016320 is 23610894615.

516498016320 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 9 + 8 + 0 + 1 + 632 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (516498016327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1301002362 + ... + 1301002758.

Almost surely, 2^516498016320 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 516498016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092230317440).

516498016320 is an abundant number, since it is smaller than the sum of its proper divisors (1667962618560).

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

516498016320 is a wasteful number, since it uses less digits than its factorization.

516498016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 516498016320 in words is "five hundred sixteen billion, four hundred ninety-eight million, sixteen thousand, three hundred twenty".