82839390396048 has 480 divisors, whose sum is σ = 292193332179840. Its totient is φ = 22372823531520.

The previous prime is 82839390396043. The next prime is 82839390396107. The reversal of 82839390396048 is 84069309393828.

82839390396048 is a `hidden beast` number, since 8 + 2 + 8 + 3 + 9 + 3 + 9 + 0 + 3 + 9 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (82839390396043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13554640 + ... + 18692432.

It is an arithmetic number, because the mean of its divisors is an integer number (608736108708).

Almost surely, 2^{82839390396048} is an apocalyptic number.

82839390396048 is a gapful number since it is divisible by the number (88) 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 82839390396048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146096666089920).

82839390396048 is an abundant number, since it is smaller than the sum of its proper divisors (209353941783792).

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

82839390396048 is a wasteful number, since it uses less digits than its factorization.

82839390396048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137869 (or 5137851 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 82839390396048 in words is "eighty-two trillion, eight hundred thirty-nine billion, three hundred ninety million, three hundred ninety-six thousand, forty-eight".