82520340480 has 288 divisors, whose sum is σ = 286817403600. Its totient is φ = 21942632448.

The previous prime is 82520340457. The next prime is 82520340499. The reversal of 82520340480 is 8404302528.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38613972 + ... + 38616108.

Almost surely, 2^82520340480 is an apocalyptic number.

82520340480 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 82520340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143408701800).

82520340480 is an abundant number, since it is smaller than the sum of its proper divisors (204297063120).

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

82520340480 is a wasteful number, since it uses less digits than its factorization.

82520340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 82520340480 in words is "eighty-two billion, five hundred twenty million, three hundred forty thousand, four hundred eighty".