83155353600 has 432 divisors, whose sum is σ = 300352963680. Its totient is φ = 20132659200.

The previous prime is 83155353571. The next prime is 83155353649. The reversal of 83155353600 is 635355138.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108134016 + ... + 108134784.

It is an arithmetic number, because the mean of its divisors is an integer number (695261490).

Almost surely, 2^83155353600 is an apocalyptic number.

83155353600 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 83155353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150176481840).

83155353600 is an abundant number, since it is smaller than the sum of its proper divisors (217197610080).

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

83155353600 is an equidigital number, since it uses as much as digits as its factorization.

83155353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 83155353600 in words is "eighty-three billion, one hundred fifty-five million, three hundred fifty-three thousand, six hundred".