104271303628800 has 2880 divisors, whose sum is σ = 483395218225920. Its totient is φ = 21581365248000.

The previous prime is 104271303628769. The next prime is 104271303628801. The reversal of 104271303628800 is 8826303172401.

104271303628800 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 7 + 13 + 0 + 3 + 628 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (104271303628801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 110809036330 + ... + 110809037270.

It is an arithmetic number, because the mean of its divisors is an integer number (167845561884).

Almost surely, 2^{104271303628800} is an apocalyptic number.

104271303628800 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 104271303628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241697609112960).

104271303628800 is an abundant number, since it is smaller than the sum of its proper divisors (379123914597120).

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

104271303628800 is a wasteful number, since it uses less digits than its factorization.

104271303628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 104271303628800 in words is "one hundred four trillion, two hundred seventy-one billion, three hundred three million, six hundred twenty-eight thousand, eight hundred".