82100790480384 has 1280 divisors, whose sum is σ = 281473634534400. Its totient is φ = 23404763676672.

The previous prime is 82100790480281. The next prime is 82100790480407. The reversal of 82100790480384 is 48308409700128.

It is a happy number.

82100790480384 is a `hidden beast` number, since 8 + 2 + 10 + 0 + 79 + 0 + 480 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 82100790480384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56271959847 + ... + 56271961305.

It is an arithmetic number, because the mean of its divisors is an integer number (219901276980).

Almost surely, 2^{82100790480384} 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 82100790480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140736817267200).

82100790480384 is an abundant number, since it is smaller than the sum of its proper divisors (199372844054016).

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

82100790480384 is a wasteful number, since it uses less digits than its factorization.

82100790480384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 82100790480384 in words is "eighty-two trillion, one hundred billion, seven hundred ninety million, four hundred eighty thousand, three hundred eighty-four".