85120518600 has 336 divisors, whose sum is σ = 319553961300. Its totient is φ = 20952276480.

The previous prime is 85120518589. The next prime is 85120518629. The reversal of 85120518600 is 681502158.

85120518600 is a `hidden beast` number, since 85 + 1 + 2 + 0 + 518 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5937935364 + 79182583236 = 77058^2 + 281394^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1872946 + ... + 1917854.

Almost surely, 2^85120518600 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 85120518600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159776980650).

85120518600 is an abundant number, since it is smaller than the sum of its proper divisors (234433442700).

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

85120518600 is a wasteful number, since it uses less digits than its factorization.

85120518600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44956 (or 44932 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 85120518600 in words is "eighty-five billion, one hundred twenty million, five hundred eighteen thousand, six hundred".