533564129280 has 1024 divisors, whose sum is σ = 2142082252800. Its totient is φ = 110415052800.

The previous prime is 533564129249. The next prime is 533564129281. The reversal of 533564129280 is 82921465335.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (533564129281) 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, 3533537205 + ... + 3533537355.

It is an arithmetic number, because the mean of its divisors is an integer number (2091877200).

Almost surely, 2^533564129280 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 533564129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071041126400).

533564129280 is an abundant number, since it is smaller than the sum of its proper divisors (1608518123520).

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

533564129280 is a wasteful number, since it uses less digits than its factorization.

533564129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 533564129280 in words is "five hundred thirty-three billion, five hundred sixty-four million, one hundred twenty-nine thousand, two hundred eighty".