10798844958720 has 1728 divisors, whose sum is σ = 47586499047360. Its totient is φ = 2216030109696.

The previous prime is 10798844958701. The next prime is 10798844958721. The reversal of 10798844958720 is 2785944889701.

10798844958720 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 88 + 449 + 5 + 87 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10798844958721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4033934022 + ... + 4033936698.

It is an arithmetic number, because the mean of its divisors is an integer number (27538483245).

Almost surely, 2^{10798844958720} is an apocalyptic number.

10798844958720 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 10798844958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23793249523680).

10798844958720 is an abundant number, since it is smaller than the sum of its proper divisors (36787654088640).

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

10798844958720 is a wasteful number, since it uses less digits than its factorization.

10798844958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 10798844958720 in words is "ten trillion, seven hundred ninety-eight billion, eight hundred forty-four million, nine hundred fifty-eight thousand, seven hundred twenty".