82709455104 has 648 divisors, whose sum is σ = 272131292160. Its totient is φ = 25019559936.

The previous prime is 82709455069. The next prime is 82709455159. The reversal of 82709455104 is 40155490728.

82709455104 is a `hidden beast` number, since 8 + 2 + 7 + 0 + 94 + 551 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a self number, because there is not a number n which added to its sum of digits gives 82709455104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 651255489 + ... + 651255615.

Almost surely, 2^82709455104 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 82709455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136065646080).

82709455104 is an abundant number, since it is smaller than the sum of its proper divisors (189421837056).

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

82709455104 is a wasteful number, since it uses less digits than its factorization.

82709455104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 82709455104 in words is "eighty-two billion, seven hundred nine million, four hundred fifty-five thousand, one hundred four".