82131084000 has 576 divisors, whose sum is σ = 345490209792. Its totient is φ = 18771264000.

The previous prime is 82131083971. The next prime is 82131084047. The reversal of 82131084000 is 48013128.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 6797965 + ... + 6810035.

It is an arithmetic number, because the mean of its divisors is an integer number (599809392).

Almost surely, 2^82131084000 is an apocalyptic number.

82131084000 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 82131084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172745104896).

82131084000 is an abundant number, since it is smaller than the sum of its proper divisors (263359125792).

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

82131084000 is a wasteful number, since it uses less digits than its factorization.

82131084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12118 (or 12088 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 82131084000 its reverse (48013128), we get a palindrome (82179097128).

The spelling of 82131084000 in words is "eighty-two billion, one hundred thirty-one million, eighty-four thousand".