82734131200 has 576 divisors, whose sum is σ = 255628638720. Its totient is φ = 25905070080.

The previous prime is 82734131167. The next prime is 82734131231. The reversal of 82734131200 is 213143728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225433417 + ... + 225433783.

It is an arithmetic number, because the mean of its divisors is an integer number (443799720).

Almost surely, 2^82734131200 is an apocalyptic number.

82734131200 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 82734131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127814319360).

82734131200 is an abundant number, since it is smaller than the sum of its proper divisors (172894507520).

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

82734131200 is a wasteful number, since it uses less digits than its factorization.

82734131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

Adding to 82734131200 its reverse (213143728), we get a palindrome (82947274928).

The spelling of 82734131200 in words is "eighty-two billion, seven hundred thirty-four million, one hundred thirty-one thousand, two hundred".