10800341637120 has 1152 divisors, whose sum is σ = 43929556070400. Its totient is φ = 2403183624192.

The previous prime is 10800341637073. The next prime is 10800341637161. The reversal of 10800341637120 is 2173614300801.

It is a happy number.

10800341637120 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 0 + 3 + 4 + 1 + 637 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 3720405589 + ... + 3720408491.

It is an arithmetic number, because the mean of its divisors is an integer number (38133295200).

Almost surely, 2^{10800341637120} is an apocalyptic number.

10800341637120 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 10800341637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21964778035200).

10800341637120 is an abundant number, since it is smaller than the sum of its proper divisors (33129214433280).

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

10800341637120 is a wasteful number, since it uses less digits than its factorization.

10800341637120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 10800341637120 its reverse (2173614300801), we get a palindrome (12973955937921).

The spelling of 10800341637120 in words is "ten trillion, eight hundred billion, three hundred forty-one million, six hundred thirty-seven thousand, one hundred twenty".