83229959040000 has 880 divisors, whose sum is σ = 292187365113600. Its totient is φ = 20998545408000.

The previous prime is 83229959039897. The next prime is 83229959040001. The reversal of 83229959040000 is 4095992238.

It is a happy number.

83229959040000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (83229959040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49868159166 + ... + 49868160834.

It is an arithmetic number, because the mean of its divisors is an integer number (332031096720).

Almost surely, 2^{83229959040000} is an apocalyptic number.

83229959040000 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 83229959040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146093682556800).

83229959040000 is an abundant number, since it is smaller than the sum of its proper divisors (208957406073600).

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

83229959040000 is a wasteful number, since it uses less digits than its factorization.

83229959040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 83229959040000 in words is "eighty-three trillion, two hundred twenty-nine billion, nine hundred fifty-nine million, forty thousand".