83505125040 has 80 divisors (see below), whose sum is σ = 258894867168. Its totient is φ = 22265540608.

The previous prime is 83505125017. The next prime is 83505125089. The reversal of 83505125040 is 4052150538.

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

It is a junction number, because it is equal to n+sod(n) for n = 83505124992 and 83505125010.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3317944 + ... + 3343016.

Almost surely, 2^83505125040 is an apocalyptic number.

83505125040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83505125040 is an abundant number, since it is smaller than the sum of its proper divisors (175389742128).

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

83505125040 is a wasteful number, since it uses less digits than its factorization.

83505125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38966 (or 38960 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 83505125040 its reverse (4052150538), we get a palindrome (87557275578).

The spelling of 83505125040 in words is "eighty-three billion, five hundred five million, one hundred twenty-five thousand, forty".