82610286408480 has 192 divisors, whose sum is σ = 266283024860160. Its totient is φ = 21516375530496.

The previous prime is 82610286408451. The next prime is 82610286408509. The reversal of 82610286408480 is 8480468201628.

It is an interprime number because it is at equal distance from previous prime (82610286408451) and next prime (82610286408509).

It is a self number, because there is not a number n which added to its sum of digits gives 82610286408480.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 920065669 + ... + 920155451.

It is an arithmetic number, because the mean of its divisors is an integer number (1386890754480).

Almost surely, 2^{82610286408480} is an apocalyptic number.

82610286408480 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 82610286408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133141512430080).

82610286408480 is an abundant number, since it is smaller than the sum of its proper divisors (183672738451680).

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

82610286408480 is a wasteful number, since it uses less digits than its factorization.

82610286408480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134423 (or 134415 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 57.

The spelling of 82610286408480 in words is "eighty-two trillion, six hundred ten billion, two hundred eighty-six million, four hundred eight thousand, four hundred eighty".