535265832960 has 520 divisors, whose sum is σ = 2002361375520. Its totient is φ = 136521842688.

The previous prime is 535265832923. The next prime is 535265832989. The reversal of 535265832960 is 69238562535.

535265832960 is a `hidden beast` number, since 5 + 3 + 52 + 6 + 583 + 2 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 535265832897 and 535265832906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38147226 + ... + 38161254.

Almost surely, 2^535265832960 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 535265832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001180687760).

535265832960 is an abundant number, since it is smaller than the sum of its proper divisors (1467095542560).

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

535265832960 is a wasteful number, since it uses less digits than its factorization.

535265832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14093 (or 14062 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 535265832960 in words is "five hundred thirty-five billion, two hundred sixty-five million, eight hundred thirty-two thousand, nine hundred sixty".