82295568000 has 512 divisors, whose sum is σ = 304975756800. Its totient is φ = 21811507200.

The previous prime is 82295567993. The next prime is 82295568011. The reversal of 82295568000 is 86559228.

82295568000 is a `hidden beast` number, since 82 + 2 + 9 + 5 + 568 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85103517 + ... + 85104483.

It is an arithmetic number, because the mean of its divisors is an integer number (595655775).

Almost surely, 2^82295568000 is an apocalyptic number.

82295568000 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 82295568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152487878400).

82295568000 is an abundant number, since it is smaller than the sum of its proper divisors (222680188800).

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

82295568000 is a wasteful number, since it uses less digits than its factorization.

82295568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 82295568000 in words is "eighty-two billion, two hundred ninety-five million, five hundred sixty-eight thousand".