82923208704 has 480 divisors, whose sum is σ = 286042803200. Its totient is φ = 23250862080.

The previous prime is 82923208703. The next prime is 82923208721. The reversal of 82923208704 is 40780232928.

It is a self number, because there is not a number n which added to its sum of digits gives 82923208704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82923208703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188890917 + ... + 188891355.

Almost surely, 2^82923208704 is an apocalyptic number.

82923208704 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 82923208704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143021401600).

82923208704 is an abundant number, since it is smaller than the sum of its proper divisors (203119594496).

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

82923208704 is an equidigital number, since it uses as much as digits as its factorization.

82923208704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 82923208704 in words is "eighty-two billion, nine hundred twenty-three million, two hundred eight thousand, seven hundred four".