521168782848 has 320 divisors, whose sum is σ = 1635672310272. Its totient is φ = 144362373120.

The previous prime is 521168782847. The next prime is 521168782853. The reversal of 521168782848 is 848287861125.

It is a happy number.

It is a super-2 number, since 2×521168782848² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 521168782791 and 521168782800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521168782847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71851990 + ... + 71859242.

Almost surely, 2^521168782848 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 521168782848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817836155136).

521168782848 is an abundant number, since it is smaller than the sum of its proper divisors (1114503527424).

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

521168782848 is a wasteful number, since it uses less digits than its factorization.

521168782848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7485 (or 7469 counting only the distinct ones).

The product of its digits is 13762560, while the sum is 60.

The spelling of 521168782848 in words is "five hundred twenty-one billion, one hundred sixty-eight million, seven hundred eighty-two thousand, eight hundred forty-eight".