533225927912832 has 2560 divisors, whose sum is σ = 2218001238604800. Its totient is φ = 122768373841920.

The previous prime is 533225927912767. The next prime is 533225927912903. The reversal of 533225927912832 is 238219729522335.

533225927912832 is a `hidden beast` number, since 5 + 3 + 3 + 2 + 2 + 592 + 7 + 9 + 1 + 2 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 533225927912832.

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 319 ways as a sum of consecutive naturals, for example, 44610211368 + ... + 44610223320.

It is an arithmetic number, because the mean of its divisors is an integer number (866406733830).

Almost surely, 2^{533225927912832} 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 533225927912832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109000619302400).

533225927912832 is an abundant number, since it is smaller than the sum of its proper divisors (1684775310691968).

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

533225927912832 is a wasteful number, since it uses less digits than its factorization.

533225927912832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12206 (or 12185 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 533225927912832 in words is "five hundred thirty-three trillion, two hundred twenty-five billion, nine hundred twenty-seven million, nine hundred twelve thousand, eight hundred thirty-two".