82508982912 has 128 divisors (see below), whose sum is σ = 256332936000. Its totient is φ = 26055447552.

The previous prime is 82508982811. The next prime is 82508982917. The reversal of 82508982912 is 21928980528.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×82508982912² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82508982917) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 562603 + ... + 693930.

Almost surely, 2^82508982912 is an apocalyptic number.

It is an amenable number.

82508982912 is an abundant number, since it is smaller than the sum of its proper divisors (173823953088).

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

82508982912 is a wasteful number, since it uses less digits than its factorization.

82508982912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256575 (or 1256557 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 82508982912 in words is "eighty-two billion, five hundred eight million, nine hundred eighty-two thousand, nine hundred twelve".