82989177664 has 56 divisors (see below), whose sum is σ = 174307296800. Its totient is φ = 39093373440.

The previous prime is 82989177631. The next prime is 82989177671. The reversal of 82989177664 is 46677198928.

It is a self number, because there is not a number n which added to its sum of digits gives 82989177664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31567 + ... + 408625.

It is an arithmetic number, because the mean of its divisors is an integer number (3112630300).

Almost surely, 2^82989177664 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 82989177664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87153648400).

82989177664 is an abundant number, since it is smaller than the sum of its proper divisors (91318119136).

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

82989177664 is a wasteful number, since it uses less digits than its factorization.

82989177664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377271 (or 377261 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 67.

The spelling of 82989177664 in words is "eighty-two billion, nine hundred eighty-nine million, one hundred seventy-seven thousand, six hundred sixty-four".