83839758912 has 1176 divisors, whose sum is σ = 325150886400. Its totient is φ = 21398307840.

The previous prime is 83839758911. The next prime is 83839758979. The reversal of 83839758912 is 21985793838.

83839758912 is a `hidden beast` number, since 8 + 3 + 8 + 39 + 7 + 589 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (26127360) is a multiple of the sum of its prime divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 83839758912.

It is not an unprimeable number, because it can be changed into a prime (83839758911) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2704508337 + ... + 2704508367.

Almost surely, 2^83839758912 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 83839758912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162575443200).

83839758912 is an abundant number, since it is smaller than the sum of its proper divisors (241311127488).

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

83839758912 is an equidigital number, since it uses as much as digits as its factorization.

83839758912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 56 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 83839758912 in words is "eighty-three billion, eight hundred thirty-nine million, seven hundred fifty-eight thousand, nine hundred twelve".