435216126665320 has 2048 divisors, whose sum is σ = 1394128060416000. Its totient is φ = 120445039411200.

The previous prime is 435216126665311. The next prime is 435216126665321. The reversal of 435216126665320 is 23566621612534.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (435216126665321) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 1291442512192 + ... + 1291442512528.

It is an arithmetic number, because the mean of its divisors is an integer number (680726592000).

Almost surely, 2^{435216126665320} is an apocalyptic number.

435216126665320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 435216126665320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697064030208000).

435216126665320 is an abundant number, since it is smaller than the sum of its proper divisors (958911933750680).

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

435216126665320 is a wasteful number, since it uses less digits than its factorization.

435216126665320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 52.

The spelling of 435216126665320 in words is "four hundred thirty-five trillion, two hundred sixteen billion, one hundred twenty-six million, six hundred sixty-five thousand, three hundred twenty".