82011072000 has 1280 divisors, whose sum is σ = 334598584320. Its totient is φ = 17547264000.

The previous prime is 82011071957. The next prime is 82011072037. The reversal of 82011072000 is 27011028.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 796223949 + ... + 796224051.

It is an arithmetic number, because the mean of its divisors is an integer number (261405144).

Almost surely, 2^82011072000 is an apocalyptic number.

82011072000 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 82011072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167299292160).

82011072000 is an abundant number, since it is smaller than the sum of its proper divisors (252587512320).

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

82011072000 is a wasteful number, since it uses less digits than its factorization.

82011072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

Adding to 82011072000 its reverse (27011028), we get a palindrome (82038083028).

The spelling of 82011072000 in words is "eighty-two billion, eleven million, seventy-two thousand".