83050817287768 has 48 divisors (see below), whose sum is σ = 171622500643440. Its totient is φ = 37649163900480.

The previous prime is 83050817287709. The next prime is 83050817287793. The reversal of 83050817287768 is 86778271805038.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 83050817287697 and 83050817287706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114647380 + ... + 115369507.

It is an arithmetic number, because the mean of its divisors is an integer number (3575468763405).

Almost surely, 2^{83050817287768} is an apocalyptic number.

83050817287768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

83050817287768 is an abundant number, since it is smaller than the sum of its proper divisors (88571683355672).

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

83050817287768 is a wasteful number, since it uses less digits than its factorization.

83050817287768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230017288 (or 230017273 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 70.

The spelling of 83050817287768 in words is "eighty-three trillion, fifty billion, eight hundred seventeen million, two hundred eighty-seven thousand, seven hundred sixty-eight".