432205112012520 has 256 divisors, whose sum is σ = 1686844571258880. Its totient is φ = 85904121600000.

The previous prime is 432205112012501. The next prime is 432205112012521. The reversal of 432205112012520 is 25210211502234.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (432205112012521) 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, 1016644981 + ... + 1017070020.

It is an arithmetic number, because the mean of its divisors is an integer number (6589236606480).

Almost surely, 2^{432205112012520} is an apocalyptic number.

432205112012520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432205112012520 is an abundant number, since it is smaller than the sum of its proper divisors (1254639459246360).

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

432205112012520 is a wasteful number, since it uses less digits than its factorization.

432205112012520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033715056 (or 2033715052 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 432205112012520 its reverse (25210211502234), we get a palindrome (457415323514754).

The spelling of 432205112012520 in words is "four hundred thirty-two trillion, two hundred five billion, one hundred twelve million, twelve thousand, five hundred twenty".