10244969095680 has 960 divisors, whose sum is σ = 41082329312640. Its totient is φ = 2416430776320.

The previous prime is 10244969095667. The next prime is 10244969095709. The reversal of 10244969095680 is 8659096944201.

10244969095680 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 4 + 9 + 69 + 0 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309433687 + ... + 309466793.

It is an arithmetic number, because the mean of its divisors is an integer number (42794093034).

Almost surely, 2^{10244969095680} is an apocalyptic number.

10244969095680 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 10244969095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20541164656320).

10244969095680 is an abundant number, since it is smaller than the sum of its proper divisors (30837360216960).

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

10244969095680 is a wasteful number, since it uses less digits than its factorization.

10244969095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33198 (or 33165 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 10244969095680 in words is "ten trillion, two hundred forty-four billion, nine hundred sixty-nine million, ninety-five thousand, six hundred eighty".