80825576832 has 2304 divisors, whose sum is σ = 365695948800. Its totient is φ = 16721510400.

The previous prime is 80825576809. The next prime is 80825576837. The reversal of 80825576832 is 23867552808.

80825576832 is a `hidden beast` number, since 8 + 0 + 8 + 2 + 557 + 6 + 83 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80825576837) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2607276657 + ... + 2607276687.

It is an arithmetic number, because the mean of its divisors is an integer number (158722200).

Almost surely, 2^80825576832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80825576832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182847974400).

80825576832 is an abundant number, since it is smaller than the sum of its proper divisors (284870371968).

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

80825576832 is a wasteful number, since it uses less digits than its factorization.

80825576832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 80825576832 in words is "eighty billion, eight hundred twenty-five million, five hundred seventy-six thousand, eight hundred thirty-two".