82411194125568 has 1152 divisors, whose sum is σ = 294479070842880. Its totient is φ = 19805700096000.

The previous prime is 82411194125563. The next prime is 82411194125587. The reversal of 82411194125568 is 86552149111428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82411194125563) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14354847178 + ... + 14354852918.

It is an arithmetic number, because the mean of its divisors is an integer number (255624193440).

Almost surely, 2^{82411194125568} is an apocalyptic number.

82411194125568 is a gapful number since it is divisible by the number (88) 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 82411194125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147239535421440).

82411194125568 is an abundant number, since it is smaller than the sum of its proper divisors (212067876717312).

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

82411194125568 is a wasteful number, since it uses less digits than its factorization.

82411194125568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6035 (or 6021 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 57.

The spelling of 82411194125568 in words is "eighty-two trillion, four hundred eleven billion, one hundred ninety-four million, one hundred twenty-five thousand, five hundred sixty-eight".