83108892672 has 364 divisors, whose sum is σ = 268475456844. Its totient is φ = 25560023040.

The previous prime is 83108892557. The next prime is 83108892673. The reversal of 83108892672 is 27629880138.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48922361856 + 34186530816 = 221184^2 + 184896^2 .

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83108892673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 38816722 + ... + 38818862.

Almost surely, 2^83108892672 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 83108892672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134237728422).

83108892672 is an abundant number, since it is smaller than the sum of its proper divisors (185366564172).

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

83108892672 is an equidigital number, since it uses as much as digits as its factorization.

83108892672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 83108892672 in words is "eighty-three billion, one hundred eight million, eight hundred ninety-two thousand, six hundred seventy-two".