831632081280 has 2048 divisors, whose sum is σ = 3778364620800. Its totient is φ = 149998141440.

The previous prime is 831632081239. The next prime is 831632081311. The reversal of 831632081280 is 82180236138.

It is a super-2 number, since 2×831632081280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2396634067 + ... + 2396634413.

It is an arithmetic number, because the mean of its divisors is an integer number (1844904600).

Almost surely, 2^831632081280 is an apocalyptic number.

831632081280 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 831632081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889182310400).

831632081280 is an abundant number, since it is smaller than the sum of its proper divisors (2946732539520).

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

831632081280 is a wasteful number, since it uses less digits than its factorization.

831632081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 831632081280 in words is "eight hundred thirty-one billion, six hundred thirty-two million, eighty-one thousand, two hundred eighty".