82109147904 has 864 divisors, whose sum is σ = 296927628480. Its totient is φ = 22574039040.

The previous prime is 82109147893. The next prime is 82109147929. The reversal of 82109147904 is 40974190128.

It is a happy number.

82109147904 is a `hidden beast` number, since 82 + 10 + 91 + 479 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 82109147904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1124782812 + ... + 1124782884.

Almost surely, 2^82109147904 is an apocalyptic number.

82109147904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82109147904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148463814240).

82109147904 is an abundant number, since it is smaller than the sum of its proper divisors (214818480576).

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

82109147904 is an frugal number, since it uses more digits than its factorization.

82109147904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 82109147904 in words is "eighty-two billion, one hundred nine million, one hundred forty-seven thousand, nine hundred four".