831232459920 has 320 divisors, whose sum is σ = 2795405082624. Its totient is φ = 203857274880.

The previous prime is 831232459909. The next prime is 831232459927. The reversal of 831232459920 is 29954232138.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 831232459920.

It is not an unprimeable number, because it can be changed into a prime (831232459927) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11801929 + ... + 11872151.

Almost surely, 2^831232459920 is an apocalyptic number.

831232459920 is a gapful number since it is divisible by the number (80) 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 831232459920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397702541312).

831232459920 is an abundant number, since it is smaller than the sum of its proper divisors (1964172622704).

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

831232459920 is a wasteful number, since it uses less digits than its factorization.

831232459920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70350 (or 70344 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 831232459920 in words is "eight hundred thirty-one billion, two hundred thirty-two million, four hundred fifty-nine thousand, nine hundred twenty".