82095085800 has 288 divisors, whose sum is σ = 339327031680. Its totient is φ = 17321126400.

The previous prime is 82095085771. The next prime is 82095085801. The reversal of 82095085800 is 858059028.

It is a super-2 number, since 2×82095085800² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (82095085801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86796 + ... + 414395.

It is an arithmetic number, because the mean of its divisors is an integer number (1178218860).

Almost surely, 2^82095085800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82095085800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169663515840).

82095085800 is an abundant number, since it is smaller than the sum of its proper divisors (257231945880).

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

82095085800 is a wasteful number, since it uses less digits than its factorization.

82095085800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501233 (or 501221 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 82095085800 in words is "eighty-two billion, ninety-five million, eighty-five thousand, eight hundred".