85588745088 has 512 divisors, whose sum is σ = 307510318080. Its totient is φ = 20407910400.

The previous prime is 85588745051. The next prime is 85588745089. The reversal of 85588745088 is 88054788558.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85588745089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20606820 + ... + 20610972.

It is an arithmetic number, because the mean of its divisors is an integer number (600606090).

Almost surely, 2^85588745088 is an apocalyptic number.

85588745088 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85588745088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153755159040).

85588745088 is an abundant number, since it is smaller than the sum of its proper divisors (221921572992).

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

85588745088 is a wasteful number, since it uses less digits than its factorization.

85588745088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 114688000, while the sum is 66.

The spelling of 85588745088 in words is "eighty-five billion, five hundred eighty-eight million, seven hundred forty-five thousand, eighty-eight".