10050822144000 has 2448 divisors, whose sum is σ = 43463449781856. Its totient is φ = 2293235712000.

The previous prime is 10050822143993. The next prime is 10050822144001. The reversal of 10050822144000 is 44122805001.

10050822144000 is a `hidden beast` number, since 10 + 0 + 508 + 2 + 2 + 144 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10050822144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 591224831992 + ... + 591224832008.

Almost surely, 2^{10050822144000} is an apocalyptic number.

10050822144000 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 10050822144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21731724890928).

10050822144000 is an abundant number, since it is smaller than the sum of its proper divisors (33412627637856).

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

10050822144000 is an frugal number, since it uses more digits than its factorization.

10050822144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 10050822144000 its reverse (44122805001), we get a palindrome (10094944949001).

The spelling of 10050822144000 in words is "ten trillion, fifty billion, eight hundred twenty-two million, one hundred forty-four thousand".