85552384128 has 128 divisors (see below), whose sum is σ = 243516611520. Its totient is φ = 26516422656.

The previous prime is 85552384117. The next prime is 85552384129. The reversal of 85552384128 is 82148325558.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (85552384129) 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, 462876 + ... + 620772.

Almost surely, 2^85552384128 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 85552384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121758305760).

85552384128 is an abundant number, since it is smaller than the sum of its proper divisors (157964227392).

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

85552384128 is a wasteful number, since it uses less digits than its factorization.

85552384128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158014 (or 158002 counting only the distinct ones).

The product of its digits is 3072000, while the sum is 51.

The spelling of 85552384128 in words is "eighty-five billion, five hundred fifty-two million, three hundred eighty-four thousand, one hundred twenty-eight".