82530057778016 has 96 divisors (see below), whose sum is σ = 169148466587520. Its totient is φ = 39606405636096.

The previous prime is 82530057778001. The next prime is 82530057778027. The reversal of 82530057778016 is 61087775003528.

It is a super-2 number, since 2×82530057778016² (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 170102300 + ... + 170586788.

It is an arithmetic number, because the mean of its divisors is an integer number (1761963193620).

Almost surely, 2^{82530057778016} 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 82530057778016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84574233293760).

82530057778016 is an abundant number, since it is smaller than the sum of its proper divisors (86618408809504).

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

82530057778016 is a wasteful number, since it uses less digits than its factorization.

82530057778016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486736 (or 486728 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 59.

The spelling of 82530057778016 in words is "eighty-two trillion, five hundred thirty billion, fifty-seven million, seven hundred seventy-eight thousand, sixteen".