82316545920 has 512 divisors, whose sum is σ = 352794009600. Its totient is φ = 17707991040.

The previous prime is 82316545859. The next prime is 82316545931. The reversal of 82316545920 is 2954561328.

82316545920 is a `hidden beast` number, since 8 + 2 + 3 + 1 + 6 + 54 + 592 + 0 = 666.

It is a super-3 number, since 3×82316545920³ (a number of 34 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2036305 + ... + 2076335.

It is an arithmetic number, because the mean of its divisors is an integer number (689050800).

Almost surely, 2^82316545920 is an apocalyptic number.

82316545920 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 82316545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176397004800).

82316545920 is an abundant number, since it is smaller than the sum of its proper divisors (270477463680).

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

82316545920 is a wasteful number, since it uses less digits than its factorization.

82316545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40083 (or 40065 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 82316545920 in words is "eighty-two billion, three hundred sixteen million, five hundred forty-five thousand, nine hundred twenty".