82357880472 has 192 divisors, whose sum is σ = 274879987200. Its totient is φ = 21748538880.

The previous prime is 82357880447. The next prime is 82357880533. The reversal of 82357880472 is 27408875328.

82357880472 is a `hidden beast` number, since 8 + 23 + 5 + 78 + 80 + 472 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287733 + ... + 497499.

It is an arithmetic number, because the mean of its divisors is an integer number (1431666600).

Almost surely, 2^82357880472 is an apocalyptic number.

82357880472 is a gapful number since it is divisible by the number (82) 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 82357880472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137439993600).

82357880472 is an abundant number, since it is smaller than the sum of its proper divisors (192522106728).

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

82357880472 is a wasteful number, since it uses less digits than its factorization.

82357880472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209846 (or 209839 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 82357880472 in words is "eighty-two billion, three hundred fifty-seven million, eight hundred eighty thousand, four hundred seventy-two".