104362589105280 has 1536 divisors, whose sum is σ = 405673206681600. Its totient is φ = 24508956672000.

The previous prime is 104362589105279. The next prime is 104362589105351. The reversal of 104362589105280 is 82501985263401.

104362589105280 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 6 + 2 + 589 + 1 + 0 + 52 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80464601592 + ... + 80464602888.

It is an arithmetic number, because the mean of its divisors is an integer number (264110160600).

Almost surely, 2^{104362589105280} is an apocalyptic number.

104362589105280 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 104362589105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202836603340800).

104362589105280 is an abundant number, since it is smaller than the sum of its proper divisors (301310617576320).

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

104362589105280 is a wasteful number, since it uses less digits than its factorization.

104362589105280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 104362589105280 in words is "one hundred four trillion, three hundred sixty-two billion, five hundred eighty-nine million, one hundred five thousand, two hundred eighty".