82089956869440 has 1344 divisors, whose sum is σ = 315150280381440. Its totient is φ = 17983161630720.

The previous prime is 82089956869391. The next prime is 82089956869441. The reversal of 82089956869440 is 4496865998028.

It is a super-2 number, since 2×82089956869440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82089956869441) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 36210831187 + ... + 36210833453.

It is an arithmetic number, because the mean of its divisors is an integer number (234486815760).

Almost surely, 2^{82089956869440} is an apocalyptic number.

82089956869440 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 82089956869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157575140190720).

82089956869440 is an abundant number, since it is smaller than the sum of its proper divisors (233060323512000).

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

82089956869440 is a wasteful number, since it uses less digits than its factorization.

82089956869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 2149908480, while the sum is 78.

The spelling of 82089956869440 in words is "eighty-two trillion, eighty-nine billion, nine hundred fifty-six million, eight hundred sixty-nine thousand, four hundred forty".