82876189536 has 288 divisors, whose sum is σ = 272542233600. Its totient is φ = 23399912448.

The previous prime is 82876189499. The next prime is 82876189553. The reversal of 82876189536 is 63598167828.

82876189536 is a `hidden beast` number, since 8 + 2 + 8 + 7 + 618 + 9 + 5 + 3 + 6 = 666.

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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66997110 + ... + 66998346.

It is an arithmetic number, because the mean of its divisors is an integer number (946327200).

Almost surely, 2^82876189536 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 82876189536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136271116800).

82876189536 is an abundant number, since it is smaller than the sum of its proper divisors (189666044064).

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

82876189536 is a wasteful number, since it uses less digits than its factorization.

82876189536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1615 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 82876189536 in words is "eighty-two billion, eight hundred seventy-six million, one hundred eighty-nine thousand, five hundred thirty-six".