535268321280 has 2880 divisors, whose sum is σ = 2628581155200. Its totient is φ = 101072240640.

The previous prime is 535268321267. The next prime is 535268321299. The reversal of 535268321280 is 82123862535.

535268321280 is a `hidden beast` number, since 5 + 3 + 526 + 8 + 32 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18457528306 + ... + 18457528334.

It is an arithmetic number, because the mean of its divisors is an integer number (912701790).

Almost surely, 2^535268321280 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 535268321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314290577600).

535268321280 is an abundant number, since it is smaller than the sum of its proper divisors (2093312833920).

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

535268321280 is a wasteful number, since it uses less digits than its factorization.

535268321280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 535268321280 in words is "five hundred thirty-five billion, two hundred sixty-eight million, three hundred twenty-one thousand, two hundred eighty".