533508940800 has 792 divisors, whose sum is σ = 2153832111200. Its totient is φ = 129315225600.

The previous prime is 533508940793. The next prime is 533508940817. The reversal of 533508940800 is 8049805335.

It is a happy number.

533508940800 is a `hidden beast` number, since 53 + 3 + 508 + 94 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 83632011 + ... + 83638389.

Almost surely, 2^533508940800 is an apocalyptic number.

533508940800 is a gapful number since it is divisible by the number (50) 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 533508940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076916055600).

533508940800 is an abundant number, since it is smaller than the sum of its proper divisors (1620323170400).

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

533508940800 is a wasteful number, since it uses less digits than its factorization.

533508940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 533508940800 in words is "five hundred thirty-three billion, five hundred eight million, nine hundred forty thousand, eight hundred".