85618208160 has 288 divisors, whose sum is σ = 299530078848. Its totient is φ = 22258575360.

The previous prime is 85618208107. The next prime is 85618208201. The reversal of 85618208160 is 6180281658.

85618208160 is a `hidden beast` number, since 8 + 5 + 618 + 20 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46005630 + ... + 46007490.

It is an arithmetic number, because the mean of its divisors is an integer number (1040034996).

Almost surely, 2^85618208160 is an apocalyptic number.

85618208160 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 85618208160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149765039424).

85618208160 is an abundant number, since it is smaller than the sum of its proper divisors (213911870688).

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

85618208160 is a wasteful number, since it uses less digits than its factorization.

85618208160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 85618208160 in words is "eighty-five billion, six hundred eighteen million, two hundred eight thousand, one hundred sixty".