82680513552 has 180 divisors, whose sum is σ = 286353797184. Its totient is φ = 21805804800.

The previous prime is 82680513521. The next prime is 82680513581. The reversal of 82680513552 is 25531508628.

82680513552 is a `hidden beast` number, since 8 + 2 + 6 + 80 + 5 + 13 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82680513498 and 82680513507.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72324 + ... + 413027.

Almost surely, 2^82680513552 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 82680513552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143176898592).

82680513552 is an abundant number, since it is smaller than the sum of its proper divisors (203673283632).

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

82680513552 is a wasteful number, since it uses less digits than its factorization.

82680513552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485398 (or 485376 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 82680513552 in words is "eighty-two billion, six hundred eighty million, five hundred thirteen thousand, five hundred fifty-two".