806520516480 has 512 divisors, whose sum is σ = 3271765708800. Its totient is φ = 183936614400.

The previous prime is 806520516479. The next prime is 806520516493. The reversal of 806520516480 is 84615025608.

806520516480 is a `hidden beast` number, since 8 + 0 + 6 + 52 + 0 + 516 + 4 + 80 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55997280 + ... + 56011680.

It is an arithmetic number, because the mean of its divisors is an integer number (6390167400).

Almost surely, 2^806520516480 is an apocalyptic number.

806520516480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806520516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635882854400).

806520516480 is an abundant number, since it is smaller than the sum of its proper divisors (2465245192320).

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

806520516480 is a wasteful number, since it uses less digits than its factorization.

806520516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14899 (or 14881 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 806520516480 in words is "eight hundred six billion, five hundred twenty million, five hundred sixteen thousand, four hundred eighty".