83095420800 has 768 divisors, whose sum is σ = 332207308800. Its totient is φ = 17832960000.

The previous prime is 83095420753. The next prime is 83095420843. The reversal of 83095420800 is 802459038.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192796585 + ... + 192797015.

It is an arithmetic number, because the mean of its divisors is an integer number (432561600).

Almost surely, 2^83095420800 is an apocalyptic number.

83095420800 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 83095420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166103654400).

83095420800 is an abundant number, since it is smaller than the sum of its proper divisors (249111888000).

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

83095420800 is a wasteful number, since it uses less digits than its factorization.

83095420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

Adding to 83095420800 its reverse (802459038), we get a palindrome (83897879838).

The spelling of 83095420800 in words is "eighty-three billion, ninety-five million, four hundred twenty thousand, eight hundred".