82438980307200 has 648 divisors, whose sum is σ = 328373552497536. Its totient is φ = 19559983104000.

The previous prime is 82438980307139. The next prime is 82438980307207. The reversal of 82438980307200 is 270308983428.

82438980307200 is a `hidden beast` number, since 8 + 2 + 43 + 8 + 98 + 0 + 307 + 200 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82438980307207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28395030 + ... + 31163370.

Almost surely, 2^{82438980307200} is an apocalyptic number.

82438980307200 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 82438980307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164186776248768).

82438980307200 is an abundant number, since it is smaller than the sum of its proper divisors (245934572190336).

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

82438980307200 is a wasteful number, since it uses less digits than its factorization.

82438980307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768431 (or 2768409 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 82438980307200 in words is "eighty-two trillion, four hundred thirty-eight billion, nine hundred eighty million, three hundred seven thousand, two hundred".