85660575840 has 1536 divisors, whose sum is σ = 384072192000. Its totient is φ = 17390370816.

The previous prime is 85660575829. The next prime is 85660575841. The reversal of 85660575840 is 4857506658.

85660575840 is a `hidden beast` number, since 8 + 5 + 6 + 6 + 0 + 57 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85660575841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 883098672 + ... + 883098768.

It is an arithmetic number, because the mean of its divisors is an integer number (250047000).

Almost surely, 2^85660575840 is an apocalyptic number.

85660575840 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 85660575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192036096000).

85660575840 is an abundant number, since it is smaller than the sum of its proper divisors (298411616160).

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

85660575840 is a wasteful number, since it uses less digits than its factorization.

85660575840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 85660575840 in words is "eighty-five billion, six hundred sixty million, five hundred seventy-five thousand, eight hundred forty".