83117732755104 has 72 divisors (see below), whose sum is σ = 236367177332832. Its totient is φ = 27705779072640.

The previous prime is 83117732755091. The next prime is 83117732755117. The reversal of 83117732755104 is 40155723771138.

It is a happy number.

83117732755104 is a `hidden beast` number, since 8 + 3 + 1 + 17 + 73 + 2 + 7 + 551 + 0 + 4 = 666.

83117732755104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (83117732755091) and next prime (83117732755117).

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74026437 + ... + 75140859.

It is an arithmetic number, because the mean of its divisors is an integer number (3282877462956).

Almost surely, 2^{83117732755104} is an apocalyptic number.

It is an amenable number.

83117732755104 is an abundant number, since it is smaller than the sum of its proper divisors (153249444577728).

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

83117732755104 is a wasteful number, since it uses less digits than its factorization.

83117732755104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373410 (or 1373399 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 83117732755104 in words is "eighty-three trillion, one hundred seventeen billion, seven hundred thirty-two million, seven hundred fifty-five thousand, one hundred four".