83126735673040 has 80 divisors (see below), whose sum is σ = 196342179452496. Its totient is φ = 32724064972800.

The previous prime is 83126735673017. The next prime is 83126735673041. The reversal of 83126735673040 is 4037653762138.

It can be written as a sum of positive squares in 8 ways, for example, as 4356637609536 + 78770098063504 = 2087256^2 + 8875252^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×83126735673040³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83126735673041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12745971 + ... + 18130450.

Almost surely, 2^{83126735673040} is an apocalyptic number.

83126735673040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83126735673040 is an abundant number, since it is smaller than the sum of its proper divisors (113215443779456).

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

83126735673040 is a wasteful number, since it uses less digits than its factorization.

83126735673040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30876968 (or 30876962 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 55.

The spelling of 83126735673040 in words is "eighty-three trillion, one hundred twenty-six billion, seven hundred thirty-five million, six hundred seventy-three thousand, forty".