82834805299200 has 1152 divisors, whose sum is σ = 288988176072960. Its totient is φ = 20908435046400.

The previous prime is 82834805299123. The next prime is 82834805299289. The reversal of 82834805299200 is 299250843828.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31604273890 + ... + 31604276510.

It is an arithmetic number, because the mean of its divisors is an integer number (250857791730).

Almost surely, 2^{82834805299200} is an apocalyptic number.

82834805299200 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 82834805299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144494088036480).

82834805299200 is an abundant number, since it is smaller than the sum of its proper divisors (206153370773760).

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

82834805299200 is a wasteful number, since it uses less digits than its factorization.

82834805299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 82834805299200 in words is "eighty-two trillion, eight hundred thirty-four billion, eight hundred five million, two hundred ninety-nine thousand, two hundred".