82701855884200 has 384 divisors, whose sum is σ = 228318676669440. Its totient is φ = 27269498880000.

The previous prime is 82701855884149. The next prime is 82701855884203. The reversal of 82701855884200 is 248855810728.

It is not an unprimeable number, because it can be changed into a prime (82701855884203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9809253985 + ... + 9809262415.

It is an arithmetic number, because the mean of its divisors is an integer number (594579887160).

Almost surely, 2^{82701855884200} 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 82701855884200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114159338334720).

82701855884200 is an abundant number, since it is smaller than the sum of its proper divisors (145616820785240).

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

82701855884200 is a wasteful number, since it uses less digits than its factorization.

82701855884200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10909 (or 10900 counting only the distinct ones).

The product of its (nonzero) digits is 11468800, while the sum is 58.

The spelling of 82701855884200 in words is "eighty-two trillion, seven hundred one billion, eight hundred fifty-five million, eight hundred eighty-four thousand, two hundred".