827465903430 has 128 divisors (see below), whose sum is σ = 2092906045440. Its totient is φ = 208965335040.

The previous prime is 827465903311. The next prime is 827465903431. The reversal of 827465903430 is 34309564728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827465903431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77262916 + ... + 77273624.

It is an arithmetic number, because the mean of its divisors is an integer number (16350828480).

Almost surely, 2^827465903430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827465903430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046453022720).

827465903430 is an abundant number, since it is smaller than the sum of its proper divisors (1265440142010).

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

827465903430 is a wasteful number, since it uses less digits than its factorization.

827465903430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11846.

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 827465903430 in words is "eight hundred twenty-seven billion, four hundred sixty-five million, nine hundred three thousand, four hundred thirty".