85517239109088 has 96 divisors (see below), whose sum is σ = 228205905887232. Its totient is φ = 28033141593600.

The previous prime is 85517239109083. The next prime is 85517239109119. The reversal of 85517239109088 is 88090193271558.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85517239109083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29677473 + ... + 32431263.

It is an arithmetic number, because the mean of its divisors is an integer number (2377144852992).

Almost surely, 2^{85517239109088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85517239109088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114102952943616).

85517239109088 is an abundant number, since it is smaller than the sum of its proper divisors (142688666778144).

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

85517239109088 is a wasteful number, since it uses less digits than its factorization.

85517239109088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759168 (or 2759160 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 66.

The spelling of 85517239109088 in words is "eighty-five trillion, five hundred seventeen billion, two hundred thirty-nine million, one hundred nine thousand, eighty-eight".