85105544160 has 768 divisors, whose sum is σ = 356638464000. Its totient is φ = 16892854272.

The previous prime is 85105544101. The next prime is 85105544171. The reversal of 85105544160 is 6144550158.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 36384271 + ... + 36386609.

It is an arithmetic number, because the mean of its divisors is an integer number (464373000).

Almost surely, 2^85105544160 is an apocalyptic number.

85105544160 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 85105544160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232000).

85105544160 is an abundant number, since it is smaller than the sum of its proper divisors (271532919840).

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

85105544160 is a wasteful number, since it uses less digits than its factorization.

85105544160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The spelling of 85105544160 in words is "eighty-five billion, one hundred five million, five hundred forty-four thousand, one hundred sixty".