82931424120 has 192 divisors, whose sum is σ = 279139348800. Its totient is φ = 21328097280.

The previous prime is 82931424097. The next prime is 82931424127. The reversal of 82931424120 is 2142413928.

82931424120 is a `hidden beast` number, since 82 + 9 + 31 + 424 + 120 = 666.

It is a super-2 number, since 2×82931424120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82931424127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10258480 + ... + 10266560.

It is an arithmetic number, because the mean of its divisors is an integer number (1453850775).

Almost surely, 2^82931424120 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 82931424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139569674400).

82931424120 is an abundant number, since it is smaller than the sum of its proper divisors (196207924680).

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

82931424120 is a wasteful number, since it uses less digits than its factorization.

82931424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9110 (or 9103 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 82931424120 in words is "eighty-two billion, nine hundred thirty-one million, four hundred twenty-four thousand, one hundred twenty".