958428824859 has 72 divisors (see below), whose sum is σ = 1616755533120. Its totient is φ = 545149867680.

The previous prime is 958428824851. The next prime is 958428824917.

958428824859 is a `hidden beast` number, since 9 + 58 + 4 + 288 + 248 + 59 = 666.

958428824859 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 958428824859 - 2³ = 958428824851 is a prime.

It is not an unprimeable number, because it can be changed into a prime (958428824851) 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 71 ways as a sum of consecutive naturals, for example, 1997484 + ... + 2430390.

It is an arithmetic number, because the mean of its divisors is an integer number (22454937960).

Almost surely, 2^958428824859 is an apocalyptic number.

958428824859 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

958428824859 is a deficient number, since it is larger than the sum of its proper divisors (658326708261).

958428824859 is a wasteful number, since it uses less digits than its factorization.

958428824859 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433061 (or 433047 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 72.

The spelling of 958428824859 in words is "nine hundred fifty-eight billion, four hundred twenty-eight million, eight hundred twenty-four thousand, eight hundred fifty-nine".