522465085440 has 1344 divisors, whose sum is σ = 2088245577600. Its totient is φ = 124726542336.

The previous prime is 522465085433. The next prime is 522465085469. The reversal of 522465085440 is 44580564225.

522465085440 is a `hidden beast` number, since 52 + 2 + 4 + 6 + 50 + 8 + 544 + 0 = 666.

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

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, 2918799271 + ... + 2918799449.

It is an arithmetic number, because the mean of its divisors is an integer number (1553754150).

Almost surely, 2^522465085440 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 522465085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044122788800).

522465085440 is an abundant number, since it is smaller than the sum of its proper divisors (1565780492160).

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

522465085440 is a wasteful number, since it uses less digits than its factorization.

522465085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 522465085440 in words is "five hundred twenty-two billion, four hundred sixty-five million, eighty-five thousand, four hundred forty".