83776609991808 has 256 divisors, whose sum is σ = 247666402368000. Its totient is φ = 27879379476480.

The previous prime is 83776609991801. The next prime is 83776609991831. The reversal of 83776609991808 is 80819990667738.

83776609991808 is a `hidden beast` number, since 8 + 377 + 6 + 60 + 9 + 9 + 9 + 180 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (83776609991801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5483831466 + ... + 5483846742.

It is an arithmetic number, because the mean of its divisors is an integer number (967446884250).

Almost surely, 2^{83776609991808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83776609991808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123833201184000).

83776609991808 is an abundant number, since it is smaller than the sum of its proper divisors (163889792376192).

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

83776609991808 is a wasteful number, since it uses less digits than its factorization.

83776609991808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17820 (or 17802 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 81.

The spelling of 83776609991808 in words is "eighty-three trillion, seven hundred seventy-six billion, six hundred nine million, nine hundred ninety-one thousand, eight hundred eight".