82938240000 has 1980 divisors, whose sum is σ = 398039674032. Its totient is φ = 16220160000.

The previous prime is 82938239977. The next prime is 82938240029. The reversal of 82938240000 is 4283928.

It is a tau number, because it is divible by the number of its divisors (1980).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 4878719992 + ... + 4878720008.

Almost surely, 2^82938240000 is an apocalyptic number.

82938240000 is a gapful number since it is divisible by the number (80) 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 82938240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199019837016).

82938240000 is an abundant number, since it is smaller than the sum of its proper divisors (315101434032).

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

82938240000 is a wasteful number, since it uses less digits than its factorization.

82938240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 82938240000 in words is "eighty-two billion, nine hundred thirty-eight million, two hundred forty thousand".