83088768268272 has 160 divisors (see below), whose sum is σ = 245312239011840. Its totient is φ = 24007093678080.

The previous prime is 83088768268267. The next prime is 83088768268301. The reversal of 83088768268272 is 27286286788038.

It is a junction number, because it is equal to n+sod(n) for n = 83088768268194 and 83088768268203.

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 31 ways as a sum of consecutive naturals, for example, 4264104 + ... + 13577927.

It is an arithmetic number, because the mean of its divisors is an integer number (1533201493824).

Almost surely, 2^{83088768268272} is an apocalyptic number.

It is an amenable number.

83088768268272 is an abundant number, since it is smaller than the sum of its proper divisors (162223470743568).

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

83088768268272 is a wasteful number, since it uses less digits than its factorization.

83088768268272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17842511 (or 17842505 counting only the distinct ones).

The product of its (nonzero) digits is 1387266048, while the sum is 75.

The spelling of 83088768268272 in words is "eighty-three trillion, eighty-eight billion, seven hundred sixty-eight million, two hundred sixty-eight thousand, two hundred seventy-two".