516913246080 has 3072 divisors, whose sum is σ = 2571927552000. Its totient is φ = 96566722560.

The previous prime is 516913246049. The next prime is 516913246093. The reversal of 516913246080 is 80642319615.

516913246080 is a `hidden beast` number, since 5 + 1 + 6 + 9 + 1 + 32 + 4 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4070182977 + ... + 4070183103.

It is an arithmetic number, because the mean of its divisors is an integer number (837216000).

Almost surely, 2^516913246080 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 516913246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285963776000).

516913246080 is an abundant number, since it is smaller than the sum of its proper divisors (2055014305920).

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

516913246080 is a wasteful number, since it uses less digits than its factorization.

516913246080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

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

The spelling of 516913246080 in words is "five hundred sixteen billion, nine hundred thirteen million, two hundred forty-six thousand, eighty".