82475254161720 has 384 divisors, whose sum is σ = 320212554480000. Its totient is φ = 18391693178880.

The previous prime is 82475254161659. The next prime is 82475254161749. The reversal of 82475254161720 is 2716145257428.

82475254161720 is a `hidden beast` number, since 8 + 2 + 4 + 7 + 52 + 5 + 416 + 172 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3082735 + ... + 13208094.

It is an arithmetic number, because the mean of its divisors is an integer number (833886860625).

Almost surely, 2^{82475254161720} 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 82475254161720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160106277240000).

82475254161720 is an abundant number, since it is smaller than the sum of its proper divisors (237737300318280).

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

82475254161720 is a wasteful number, since it uses less digits than its factorization.

82475254161720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16290908 (or 16290887 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 82475254161720 in words is "eighty-two trillion, four hundred seventy-five billion, two hundred fifty-four million, one hundred sixty-one thousand, seven hundred twenty".