82308169528032 has 768 divisors, whose sum is σ = 268539266580480. Its totient is φ = 21550145126400.

The previous prime is 82308169528019. The next prime is 82308169528033. The reversal of 82308169528032 is 23082596180328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82308169528033) 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, 46162741413 + ... + 46162743195.

It is an arithmetic number, because the mean of its divisors is an integer number (349660503360).

Almost surely, 2^{82308169528032} is an apocalyptic number.

82308169528032 is a gapful number since it is divisible by the number (82) 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 82308169528032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134269633290240).

82308169528032 is an abundant number, since it is smaller than the sum of its proper divisors (186231097052448).

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

82308169528032 is a wasteful number, since it uses less digits than its factorization.

82308169528032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 82308169528032 in words is "eighty-two trillion, three hundred eight billion, one hundred sixty-nine million, five hundred twenty-eight thousand, thirty-two".