82808364388200 has 384 divisors, whose sum is σ = 299778259392000. Its totient is φ = 18695845094400.

The previous prime is 82808364388177. The next prime is 82808364388229. The reversal of 82808364388200 is 288346380828.

82808364388200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1802382 + ... + 12994818.

It is an arithmetic number, because the mean of its divisors is an integer number (780672550500).

Almost surely, 2^{82808364388200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82808364388200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149889129696000).

82808364388200 is an abundant number, since it is smaller than the sum of its proper divisors (216969895003800).

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

82808364388200 is a wasteful number, since it uses less digits than its factorization.

82808364388200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11192545 (or 11192536 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 60.

The spelling of 82808364388200 in words is "eighty-two trillion, eight hundred eight billion, three hundred sixty-four million, three hundred eighty-eight thousand, two hundred".