82058235840 has 560 divisors, whose sum is σ = 334591468992. Its totient is φ = 18700222464.

The previous prime is 82058235829. The next prime is 82058235851. The reversal of 82058235840 is 4853285028.

82058235840 is a `hidden beast` number, since 8 + 20 + 582 + 3 + 5 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (82058235829) and next prime (82058235851).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 111948114 + ... + 111948846.

Almost surely, 2^82058235840 is an apocalyptic number.

82058235840 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 82058235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167295734496).

82058235840 is an abundant number, since it is smaller than the sum of its proper divisors (252533233152).

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

82058235840 is a wasteful number, since it uses less digits than its factorization.

82058235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 82058235840 in words is "eighty-two billion, fifty-eight million, two hundred thirty-five thousand, eight hundred forty".