82884315782400 has 1728 divisors, whose sum is σ = 335015707622400. Its totient is φ = 17784963072000.

The previous prime is 82884315782393. The next prime is 82884315782441. The reversal of 82884315782400 is 428751348828.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9482242030 + ... + 9482250770.

It is an arithmetic number, because the mean of its divisors is an integer number (193874830800).

Almost surely, 2^{82884315782400} is an apocalyptic number.

82884315782400 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 82884315782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167507853811200).

82884315782400 is an abundant number, since it is smaller than the sum of its proper divisors (252131391840000).

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

82884315782400 is a wasteful number, since it uses less digits than its factorization.

82884315782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8956 (or 8937 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 60.

The spelling of 82884315782400 in words is "eighty-two trillion, eight hundred eighty-four billion, three hundred fifteen million, seven hundred eighty-two thousand, four hundred".