82984199782400 has 828 divisors, whose sum is σ = 247597855776576. Its totient is φ = 27481079808000.

The previous prime is 82984199782397. The next prime is 82984199782423. The reversal of 82984199782400 is 428799148928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 159278694140 + ... + 159278694660.

Almost surely, 2^{82984199782400} is an apocalyptic number.

82984199782400 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 82984199782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123798927888288).

82984199782400 is an abundant number, since it is smaller than the sum of its proper divisors (164613655994176).

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

82984199782400 is an frugal number, since it uses more digits than its factorization.

82984199782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 71.

The spelling of 82984199782400 in words is "eighty-two trillion, nine hundred eighty-four billion, one hundred ninety-nine million, seven hundred eighty-two thousand, four hundred".