82081498752 has 384 divisors, whose sum is σ = 279204045120. Its totient is φ = 22863052800.

The previous prime is 82081498747. The next prime is 82081498771. The reversal of 82081498752 is 25789418028.

82081498752 is a `hidden beast` number, since 8 + 2 + 0 + 81 + 498 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9258802 + ... + 9267662.

Almost surely, 2^82081498752 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 82081498752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139602022560).

82081498752 is an abundant number, since it is smaller than the sum of its proper divisors (197122546368).

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

82081498752 is a wasteful number, since it uses less digits than its factorization.

82081498752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8952 (or 8937 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 82081498752 in words is "eighty-two billion, eighty-one million, four hundred ninety-eight thousand, seven hundred fifty-two".