82356299160 has 256 divisors, whose sum is σ = 253528704000. Its totient is φ = 21398157312.

The previous prime is 82356299131. The next prime is 82356299177. The reversal of 82356299160 is 6199265328.

It is a super-2 number, since 2×82356299160² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 362802967 + ... + 362803193.

It is an arithmetic number, because the mean of its divisors is an integer number (990346500).

Almost surely, 2^82356299160 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 82356299160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126764352000).

82356299160 is an abundant number, since it is smaller than the sum of its proper divisors (171172404840).

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

82356299160 is a wasteful number, since it uses less digits than its factorization.

82356299160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 82356299160 in words is "eighty-two billion, three hundred fifty-six million, two hundred ninety-nine thousand, one hundred sixty".