535809822048 has 384 divisors, whose sum is σ = 1673581916160. Its totient is φ = 166483537920.

The previous prime is 535809822047. The next prime is 535809822061. The reversal of 535809822048 is 840228908535.

It is a happy number.

535809822048 is a `hidden beast` number, since 5 + 358 + 0 + 9 + 82 + 204 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 535809821985 and 535809822003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535809822047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84071790 + ... + 84078162.

It is an arithmetic number, because the mean of its divisors is an integer number (4358286240).

Almost surely, 2^535809822048 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 535809822048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836790958080).

535809822048 is an abundant number, since it is smaller than the sum of its proper divisors (1137772094112).

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

535809822048 is a wasteful number, since it uses less digits than its factorization.

535809822048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6539 (or 6525 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 535809822048 in words is "five hundred thirty-five billion, eight hundred nine million, eight hundred twenty-two thousand, forty-eight".