533134727642880 has 864 divisors, whose sum is σ = 2188961438227200. Its totient is φ = 122442407239680.

The previous prime is 533134727642873. The next prime is 533134727642903. The reversal of 533134727642880 is 88246727431335.

533134727642880 is a `hidden beast` number, since 5 + 3 + 3 + 1 + 3 + 472 + 7 + 64 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76098427 + ... + 82808453.

Almost surely, 2^{533134727642880} 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 533134727642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094480719113600).

533134727642880 is an abundant number, since it is smaller than the sum of its proper divisors (1655826710584320).

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

533134727642880 is a wasteful number, since it uses less digits than its factorization.

533134727642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6710098 (or 6710067 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 533134727642880 in words is "five hundred thirty-three trillion, one hundred thirty-four billion, seven hundred twenty-seven million, six hundred forty-two thousand, eight hundred eighty".