83813685271120 has 120 divisors (see below), whose sum is σ = 227173531479048. Its totient is φ = 28673785728000.

The previous prime is 83813685271093. The next prime is 83813685271177. The reversal of 83813685271120 is 2117258631838.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5165947128384 + 78647738142736 = 2272872^2 + 8868356^2 .

It is a super-3 number, since 3×83813685271120³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21382731 + ... + 24996970.

Almost surely, 2^{83813685271120} is an apocalyptic number.

83813685271120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83813685271120 is an abundant number, since it is smaller than the sum of its proper divisors (143359846207928).

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

83813685271120 is a wasteful number, since it uses less digits than its factorization.

83813685271120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46380189 (or 46380176 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 83813685271120 in words is "eighty-three trillion, eight hundred thirteen billion, six hundred eighty-five million, two hundred seventy-one thousand, one hundred twenty".