82576579008 has 448 divisors, whose sum is σ = 292139827200. Its totient is φ = 19926466560.

The previous prime is 82576578979. The next prime is 82576579153. The reversal of 82576579008 is 80097567528.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19852833 + ... + 19856991.

Almost surely, 2^82576579008 is an apocalyptic number.

82576579008 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 82576579008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146069913600).

82576579008 is an abundant number, since it is smaller than the sum of its proper divisors (209563248192).

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

82576579008 is a wasteful number, since it uses less digits than its factorization.

82576579008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 82576579008 in words is "eighty-two billion, five hundred seventy-six million, five hundred seventy-nine thousand, eight".