82957266432 has 120 divisors (see below), whose sum is σ = 240057057240. Its totient is φ = 27578880000.

The previous prime is 82957266391. The next prime is 82957266437. The reversal of 82957266432 is 23466275928.

82957266432 is a `hidden beast` number, since 8 + 2 + 9 + 572 + 6 + 64 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82957266437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1722682 + ... + 1770182.

It is an arithmetic number, because the mean of its divisors is an integer number (2000475477).

Almost surely, 2^82957266432 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 82957266432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120028528620).

82957266432 is an abundant number, since it is smaller than the sum of its proper divisors (157099790808).

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

82957266432 is a wasteful number, since it uses less digits than its factorization.

82957266432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47904 (or 47885 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

It can be divided in two parts, 8295 and 7266432, that added together give a palindrome (7274727).

The spelling of 82957266432 in words is "eighty-two billion, nine hundred fifty-seven million, two hundred sixty-six thousand, four hundred thirty-two".