85032418128 has 240 divisors, whose sum is σ = 262069226496. Its totient is φ = 23675984640.

The previous prime is 85032418127. The next prime is 85032418129. The reversal of 85032418128 is 82181423058.

It is an interprime number because it is at equal distance from previous prime (85032418127) and next prime (85032418129).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 85032418128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85032418127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69075273 + ... + 69076503.

Almost surely, 2^85032418128 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 85032418128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131034613248).

85032418128 is an abundant number, since it is smaller than the sum of its proper divisors (177036808368).

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

85032418128 is a wasteful number, since it uses less digits than its factorization.

85032418128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 85032418128 in words is "eighty-five billion, thirty-two million, four hundred eighteen thousand, one hundred twenty-eight".