82102009248 has 288 divisors, whose sum is σ = 278851652352. Its totient is φ = 22404096000.

The previous prime is 82102009219. The next prime is 82102009309. The reversal of 82102009248 is 84290020128.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60324088 + ... + 60325448.

It is an arithmetic number, because the mean of its divisors is an integer number (968234904).

Almost surely, 2^82102009248 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 82102009248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139425826176).

82102009248 is an abundant number, since it is smaller than the sum of its proper divisors (196749643104).

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

82102009248 is a wasteful number, since it uses less digits than its factorization.

82102009248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 82102009248 in words is "eighty-two billion, one hundred two million, nine thousand, two hundred forty-eight".