82570577536 has 64 divisors (see below), whose sum is σ = 167110272000. Its totient is φ = 40632523776.

The previous prime is 82570577521. The next prime is 82570577539. The reversal of 82570577536 is 63577507528.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (82570577539) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3192625 + ... + 3218383.

It is an arithmetic number, because the mean of its divisors is an integer number (2611098000).

Almost surely, 2^82570577536 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 82570577536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83555136000).

82570577536 is an abundant number, since it is smaller than the sum of its proper divisors (84539694464).

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

82570577536 is a wasteful number, since it uses less digits than its factorization.

82570577536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26169 (or 26157 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 55.

The spelling of 82570577536 in words is "eighty-two billion, five hundred seventy million, five hundred seventy-seven thousand, five hundred thirty-six".