82568016000 has 384 divisors, whose sum is σ = 304556157360. Its totient is φ = 21421670400.

The previous prime is 82568015941. The next prime is 82568016001. The reversal of 82568016000 is 61086528.

It is a happy number.

82568016000 is a `hidden beast` number, since 82 + 568 + 0 + 16 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35214774336 + 47353241664 = 187656^2 + 217608^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82568016001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5320252 + ... + 5335748.

Almost surely, 2^82568016000 is an apocalyptic number.

82568016000 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 82568016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152278078680).

82568016000 is an abundant number, since it is smaller than the sum of its proper divisors (221988141360).

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

82568016000 is a wasteful number, since it uses less digits than its factorization.

82568016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15569 (or 15544 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 82568016000 in words is "eighty-two billion, five hundred sixty-eight million, sixteen thousand".