83377800877338 has 96 divisors (see below), whose sum is σ = 200026671436800. Its totient is φ = 24887594904480.

The previous prime is 83377800877337. The next prime is 83377800877361.

83377800877338 is a `hidden beast` number, since 8 + 3 + 377 + 80 + 0 + 87 + 73 + 38 = 666.

83377800877338 is nontrivially palindromic in base 10.

83377800877338 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 (83377800877331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270459081 + ... + 270767187.

It is an arithmetic number, because the mean of its divisors is an integer number (2083611160800).

Almost surely, 2^{83377800877338} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83377800877338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100013335718400).

83377800877338 is an abundant number, since it is smaller than the sum of its proper divisors (116648870559462).

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

83377800877338 is a wasteful number, since it uses less digits than its factorization.

83377800877338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328592 (or 328589 counting only the distinct ones).

The product of its (nonzero) digits is 796594176, while the sum is 72.

The spelling of 83377800877338 in words is "eighty-three trillion, three hundred seventy-seven billion, eight hundred million, eight hundred seventy-seven thousand, three hundred thirty-eight".