516409716574080 has 896 divisors, whose sum is σ = 2119102342156800. Its totient is φ = 117829362216960.

The previous prime is 516409716574067. The next prime is 516409716574097. The reversal of 516409716574080 is 80475617904615.

516409716574080 is a `hidden beast` number, since 5 + 1 + 6 + 40 + 9 + 7 + 16 + 574 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 516409716573999 and 516409716574017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1864701861 + ... + 1864978779.

It is an arithmetic number, because the mean of its divisors is an integer number (2365069578300).

Almost surely, 2^{516409716574080} 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 516409716574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059551171078400).

516409716574080 is an abundant number, since it is smaller than the sum of its proper divisors (1602692625582720).

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

516409716574080 is an equidigital number, since it uses as much as digits as its factorization.

516409716574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277534 (or 277507 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 516409716574080 in words is "five hundred sixteen trillion, four hundred nine billion, seven hundred sixteen million, five hundred seventy-four thousand, eighty".