516001464320 has 256 divisors, whose sum is σ = 1278077201280. Its totient is φ = 199883751424.

The previous prime is 516001464317. The next prime is 516001464361. The reversal of 516001464320 is 23464100615.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×516001464320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 870153944 + ... + 870154536.

Almost surely, 2^516001464320 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 516001464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639038600640).

516001464320 is an abundant number, since it is smaller than the sum of its proper divisors (762075736960).

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

516001464320 is an equidigital number, since it uses as much as digits as its factorization.

516001464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 516001464320 its reverse (23464100615), we get a palindrome (539465564935).

The spelling of 516001464320 in words is "five hundred sixteen billion, one million, four hundred sixty-four thousand, three hundred twenty".