522816048720 has 800 divisors, whose sum is σ = 2148044659200. Its totient is φ = 117782138880.

The previous prime is 522816048683. The next prime is 522816048743. The reversal of 522816048720 is 27840618225.

522816048720 is a `hidden beast` number, since 5 + 2 + 2 + 8 + 160 + 487 + 2 + 0 = 666.

522816048720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 159 ways as a sum of consecutive naturals, for example, 157805784 + ... + 157809096.

It is an arithmetic number, because the mean of its divisors is an integer number (2685055824).

Almost surely, 2^522816048720 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 522816048720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074022329600).

522816048720 is an abundant number, since it is smaller than the sum of its proper divisors (1625228610480).

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

522816048720 is a wasteful number, since it uses less digits than its factorization.

522816048720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 522816048720 in words is "five hundred twenty-two billion, eight hundred sixteen million, forty-eight thousand, seven hundred twenty".