82495164416000 has 768 divisors, whose sum is σ = 247267057190400. Its totient is φ = 27369603072000.

The previous prime is 82495164415981. The next prime is 82495164416017. The reversal of 82495164416000 is 61446159428.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 82495164416000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6221817371 + ... + 6221830629.

It is an arithmetic number, because the mean of its divisors is an integer number (321962314050).

Almost surely, 2^{82495164416000} is an apocalyptic number.

82495164416000 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 82495164416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123633528595200).

82495164416000 is an abundant number, since it is smaller than the sum of its proper divisors (164771892774400).

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

82495164416000 is an equidigital number, since it uses as much as digits as its factorization.

82495164416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13349 (or 13304 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 82495164416000 in words is "eighty-two trillion, four hundred ninety-five billion, one hundred sixty-four million, four hundred sixteen thousand".