82496064000 has 320 divisors, whose sum is σ = 313466579712. Its totient is φ = 18855936000.

The previous prime is 82496063927. The next prime is 82496064029. The reversal of 82496064000 is 46069428.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 82496064000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313310 + ... + 1374690.

Almost surely, 2^82496064000 is an apocalyptic number.

82496064000 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 82496064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156733289856).

82496064000 is an abundant number, since it is smaller than the sum of its proper divisors (230970515712).

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

82496064000 is an equidigital number, since it uses as much as digits as its factorization.

82496064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61424 (or 61398 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 82496064000 in words is "eighty-two billion, four hundred ninety-six million, sixty-four thousand".