82045656000 has 896 divisors, whose sum is σ = 375369246720. Its totient is φ = 17044992000.

The previous prime is 82045655941. The next prime is 82045656013. The reversal of 82045656000 is 65654028.

82045656000 is a `hidden beast` number, since 8 + 2 + 0 + 45 + 6 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 16629534 + ... + 16634466.

Almost surely, 2^82045656000 is an apocalyptic number.

82045656000 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 82045656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187684623360).

82045656000 is an abundant number, since it is smaller than the sum of its proper divisors (293323590720).

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

82045656000 is a wasteful number, since it uses less digits than its factorization.

82045656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4987 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 82045656000 in words is "eighty-two billion, forty-five million, six hundred fifty-six thousand".