82348565423040 has 672 divisors, whose sum is σ = 335827854835200. Its totient is φ = 18815219675136.

The previous prime is 82348565423029. The next prime is 82348565423053. The reversal of 82348565423040 is 4032456584328.

82348565423040 is a `hidden beast` number, since 8 + 2 + 3 + 4 + 8 + 56 + 542 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1469091654 + ... + 1469147706.

It is an arithmetic number, because the mean of its divisors is an integer number (499743831600).

Almost surely, 2^{82348565423040} is an apocalyptic number.

82348565423040 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 82348565423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167913927417600).

82348565423040 is an abundant number, since it is smaller than the sum of its proper divisors (253479289412160).

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

82348565423040 is a wasteful number, since it uses less digits than its factorization.

82348565423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58791 (or 58769 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 82348565423040 in words is "eighty-two trillion, three hundred forty-eight billion, five hundred sixty-five million, four hundred twenty-three thousand, forty".