104585656320 has 288 divisors, whose sum is σ = 372283853760. Its totient is φ = 27134853120.

The previous prime is 104585656277. The next prime is 104585656333. The reversal of 104585656320 is 23656585401.

104585656320 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 8 + 5 + 6 + 5 + 632 + 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 a congruent number.

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, 3394585 + ... + 3425255.

It is an arithmetic number, because the mean of its divisors is an integer number (1292652270).

Almost surely, 2^104585656320 is an apocalyptic number.

104585656320 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 104585656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186141926880).

104585656320 is an abundant number, since it is smaller than the sum of its proper divisors (267698197440).

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

104585656320 is a wasteful number, since it uses less digits than its factorization.

104585656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30741 (or 30718 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 104585656320 in words is "one hundred four billion, five hundred eighty-five million, six hundred fifty-six thousand, three hundred twenty".