82961082072 has 96 divisors (see below), whose sum is σ = 253564506000. Its totient is φ = 24272828160.

The previous prime is 82961082053. The next prime is 82961082073. The reversal of 82961082072 is 27028016928.

82961082072 is a `hidden beast` number, since 8 + 2 + 9 + 610 + 8 + 20 + 7 + 2 = 666.

It is a super-2 number, since 2×82961082072² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82961082073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1783047 + ... + 1828982.

Almost surely, 2^82961082072 is an apocalyptic number.

It is an amenable number.

82961082072 is an abundant number, since it is smaller than the sum of its proper divisors (170603423928).

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

82961082072 is a wasteful number, since it uses less digits than its factorization.

82961082072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612081 (or 3612074 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 82961082072 in words is "eighty-two billion, nine hundred sixty-one million, eighty-two thousand, seventy-two".