533524704804 has 288 divisors, whose sum is σ = 1733469696000. Its totient is φ = 138926047104.

The previous prime is 533524704803. The next prime is 533524704821. The reversal of 533524704804 is 408407425335.

533524704804 is a `hidden beast` number, since 53 + 3 + 52 + 4 + 70 + 480 + 4 = 666.

It is a super-2 number, since 2×533524704804² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 533524704804.

It is not an unprimeable number, because it can be changed into a prime (533524704803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10066927 + ... + 10119785.

It is an arithmetic number, because the mean of its divisors is an integer number (6018992000).

Almost surely, 2^533524704804 is an apocalyptic number.

533524704804 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533524704804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866734848000).

533524704804 is an abundant number, since it is smaller than the sum of its proper divisors (1199944991196).

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

533524704804 is a wasteful number, since it uses less digits than its factorization.

533524704804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52984 (or 52963 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 533524704804 in words is "five hundred thirty-three billion, five hundred twenty-four million, seven hundred four thousand, eight hundred four".