516215906304 has 168 divisors, whose sum is σ = 1601228809728. Its totient is φ = 147489914880.

The previous prime is 516215906221. The next prime is 516215906309. The reversal of 516215906304 is 403609512615.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (516215906309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 989889 + ... + 1418559.

Almost surely, 2^516215906304 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 516215906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800614404864).

516215906304 is an abundant number, since it is smaller than the sum of its proper divisors (1085012903424).

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

516215906304 is an equidigital number, since it uses as much as digits as its factorization.

516215906304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428714 (or 428683 counting only the distinct ones).

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

The spelling of 516215906304 in words is "five hundred sixteen billion, two hundred fifteen million, nine hundred six thousand, three hundred four".