82526810080 has 576 divisors, whose sum is σ = 256995244800. Its totient is φ = 24670863360.

The previous prime is 82526810077. The next prime is 82526810101. The reversal of 82526810080 is 8001862528.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96072691 + ... + 96073549.

It is an arithmetic number, because the mean of its divisors is an integer number (446172300).

Almost surely, 2^82526810080 is an apocalyptic number.

82526810080 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 82526810080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128497622400).

82526810080 is an abundant number, since it is smaller than the sum of its proper divisors (174468434720).

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

82526810080 is a wasteful number, since it uses less digits than its factorization.

82526810080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 82526810080 in words is "eighty-two billion, five hundred twenty-six million, eight hundred ten thousand, eighty".