83117706772575 has 192 divisors, whose sum is σ = 158034625136640. Its totient is φ = 38286101053440.

The previous prime is 83117706772553. The next prime is 83117706772589. The reversal of 83117706772575 is 57527760771138.

It is not a de Polignac number, because 83117706772575 - 2⁸ = 83117706772319 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110065479 + ... + 110818071.

It is an arithmetic number, because the mean of its divisors is an integer number (823097005920).

Almost surely, 2^{83117706772575} is an apocalyptic number.

83117706772575 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

83117706772575 is a deficient number, since it is larger than the sum of its proper divisors (74916918364065).

83117706772575 is a wasteful number, since it uses less digits than its factorization.

83117706772575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752786 (or 752781 counting only the distinct ones).

The product of its (nonzero) digits is 121010400, while the sum is 66.

The spelling of 83117706772575 in words is "eighty-three trillion, one hundred seventeen billion, seven hundred six million, seven hundred seventy-two thousand, five hundred seventy-five".