82758655332 has 144 divisors (see below), whose sum is σ = 223391750400. Its totient is φ = 25742914560.

The previous prime is 82758655321. The next prime is 82758655351. The reversal of 82758655332 is 23355685728.

82758655332 is a `hidden beast` number, since 8 + 2 + 7 + 5 + 86 + 553 + 3 + 2 = 666.

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, 37979019 + ... + 37981197.

It is an arithmetic number, because the mean of its divisors is an integer number (1551331600).

Almost surely, 2^82758655332 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 82758655332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111695875200).

82758655332 is an abundant number, since it is smaller than the sum of its proper divisors (140633095068).

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

82758655332 is a wasteful number, since it uses less digits than its factorization.

82758655332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2701 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 82758655332 in words is "eighty-two billion, seven hundred fifty-eight million, six hundred fifty-five thousand, three hundred thirty-two".