516362895360 has 1280 divisors, whose sum is σ = 2070231775920. Its totient is φ = 122305904640.

The previous prime is 516362895359. The next prime is 516362895409. The reversal of 516362895360 is 63598263615.

It is a happy number.

516362895360 is a `hidden beast` number, since 5 + 1 + 6 + 3 + 628 + 9 + 5 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37011603456 + 479351291904 = 192384^2 + 692352^2 .

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 516362895297 and 516362895306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7073464284 + ... + 7073464356.

Almost surely, 2^516362895360 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 516362895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035115887960).

516362895360 is an abundant number, since it is smaller than the sum of its proper divisors (1553868880560).

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

516362895360 is an equidigital number, since it uses as much as digits as its factorization.

516362895360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 516362895360 in words is "five hundred sixteen billion, three hundred sixty-two million, eight hundred ninety-five thousand, three hundred sixty".