10104575368800 has 288 divisors, whose sum is σ = 37991043667584. Its totient is φ = 2305500160000.

The previous prime is 10104575368799. The next prime is 10104575368843. The reversal of 10104575368800 is 886357540101.

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 10104575368800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10808526 + ... + 11706125.

It is an arithmetic number, because the mean of its divisors is an integer number (131913346068).

Almost surely, 2^{10104575368800} is an apocalyptic number.

10104575368800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10104575368800 is an abundant number, since it is smaller than the sum of its proper divisors (27886468298784).

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

10104575368800 is a wasteful number, since it uses less digits than its factorization.

10104575368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22514702 (or 22514689 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 10104575368800 in words is "ten trillion, one hundred four billion, five hundred seventy-five million, three hundred sixty-eight thousand, eight hundred".