10298046844800 has 2304 divisors, whose sum is σ = 45997100997120. Its totient is φ = 2241279590400.

The previous prime is 10298046844793. The next prime is 10298046844807. The reversal of 10298046844800 is 844864089201.

It is a happy number.

10298046844800 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 80 + 4 + 6 + 84 + 480 + 0 = 666.

10298046844800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10298046844793) and next prime (10298046844807).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10298046844807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4114280349 + ... + 4114282851.

It is an arithmetic number, because the mean of its divisors is an integer number (19964019530).

Almost surely, 2^{10298046844800} is an apocalyptic number.

10298046844800 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 10298046844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22998550498560).

10298046844800 is an abundant number, since it is smaller than the sum of its proper divisors (35699054152320).

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

10298046844800 is a wasteful number, since it uses less digits than its factorization.

10298046844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 10298046844800 in words is "ten trillion, two hundred ninety-eight billion, forty-six million, eight hundred forty-four thousand, eight hundred".