82375082673380 has 288 divisors, whose sum is σ = 209990064485376. Its totient is φ = 26585523412992.

The previous prime is 82375082673319. The next prime is 82375082673383. The reversal of 82375082673380 is 8337628057328.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82375082673383) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5137837844 + ... + 5137853876.

It is an arithmetic number, because the mean of its divisors is an integer number (729132168352).

Almost surely, 2^{82375082673380} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82375082673380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104995032242688).

82375082673380 is an abundant number, since it is smaller than the sum of its proper divisors (127614981811996).

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

82375082673380 is a wasteful number, since it uses less digits than its factorization.

82375082673380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16731 (or 16710 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 62.

The spelling of 82375082673380 in words is "eighty-two trillion, three hundred seventy-five billion, eighty-two million, six hundred seventy-three thousand, three hundred eighty".