82509009156 has 96 divisors (see below), whose sum is σ = 244629504000. Its totient is φ = 23558732064.

The previous prime is 82509009139. The next prime is 82509009169. The reversal of 82509009156 is 65190090528.

82509009156 is a `hidden beast` number, since 8 + 2 + 509 + 0 + 0 + 91 + 56 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1159165 + ... + 1228283.

It is an arithmetic number, because the mean of its divisors is an integer number (2548224000).

Almost surely, 2^82509009156 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 82509009156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122314752000).

82509009156 is an abundant number, since it is smaller than the sum of its proper divisors (162120494844).

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

82509009156 is a wasteful number, since it uses less digits than its factorization.

82509009156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70718 (or 70710 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 82509009156 in words is "eighty-two billion, five hundred nine million, nine thousand, one hundred fifty-six".