523090560960 has 560 divisors, whose sum is σ = 2035820160000. Its totient is φ = 126439004160.

The previous prime is 523090560943. The next prime is 523090560961. The reversal of 523090560960 is 69065090325.

523090560960 is a `hidden beast` number, since 5 + 2 + 30 + 9 + 0 + 5 + 609 + 6 + 0 = 666.

It is a super-2 number, since 2×523090560960² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523090560961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104636541 + ... + 104641539.

Almost surely, 2^523090560960 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 523090560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017910080000).

523090560960 is an abundant number, since it is smaller than the sum of its proper divisors (1512729599040).

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

523090560960 is a wasteful number, since it uses less digits than its factorization.

523090560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5387 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 523090560960 in words is "five hundred twenty-three billion, ninety million, five hundred sixty thousand, nine hundred sixty".