108585711360 has 864 divisors, whose sum is σ = 456256120320. Its totient is φ = 23290675200.

The previous prime is 108585711347. The next prime is 108585711361. The reversal of 108585711360 is 63117585801.

108585711360 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 8 + 571 + 13 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108585711361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200712690 + ... + 200713230.

Almost surely, 2^108585711360 is an apocalyptic number.

108585711360 is a gapful number since it is divisible by the number (10) 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 108585711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228128060160).

108585711360 is an abundant number, since it is smaller than the sum of its proper divisors (347670408960).

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

108585711360 is a wasteful number, since it uses less digits than its factorization.

108585711360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 108585711360 in words is "one hundred eight billion, five hundred eighty-five million, seven hundred eleven thousand, three hundred sixty".