85948398160 has 80 divisors (see below), whose sum is σ = 205415531136. Its totient is φ = 33420086784.

The previous prime is 85948398097. The next prime is 85948398161. The reversal of 85948398160 is 6189384958.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85948398161) 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, 3429997 + ... + 3454963.

Almost surely, 2^85948398160 is an apocalyptic number.

85948398160 is a gapful number since it is divisible by the number (80) 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 85948398160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102707765568).

85948398160 is an abundant number, since it is smaller than the sum of its proper divisors (119467132976).

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

85948398160 is a wasteful number, since it uses less digits than its factorization.

85948398160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26180 (or 26174 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 61.

The spelling of 85948398160 in words is "eighty-five billion, nine hundred forty-eight million, three hundred ninety-eight thousand, one hundred sixty".