108585386400 has 144 divisors (see below), whose sum is σ = 364847148288. Its totient is φ = 28022016000.

The previous prime is 108585386387. The next prime is 108585386417. The reversal of 108585386400 is 4683585801.

It is a super-2 number, since 2×108585386400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 108585386400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655341 + ... + 804140.

It is an arithmetic number, because the mean of its divisors is an integer number (2533660752).

Almost surely, 2^108585386400 is an apocalyptic number.

108585386400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108585386400 is an abundant number, since it is smaller than the sum of its proper divisors (256261761888).

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

108585386400 is a wasteful number, since it uses less digits than its factorization.

108585386400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459535 (or 1459522 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 108585386400 in words is "one hundred eight billion, five hundred eighty-five million, three hundred eighty-six thousand, four hundred".