10379898005760 has 720 divisors, whose sum is σ = 38963858250240. Its totient is φ = 2634830069760.

The previous prime is 10379898005753. The next prime is 10379898005777. The reversal of 10379898005760 is 6750089897301.

10379898005760 is a `hidden beast` number, since 1 + 0 + 379 + 89 + 80 + 0 + 57 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 213452809 + ... + 213501431.

It is an arithmetic number, because the mean of its divisors is an integer number (54116469792).

Almost surely, 2^{10379898005760} is an apocalyptic number.

10379898005760 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 10379898005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19481929125120).

10379898005760 is an abundant number, since it is smaller than the sum of its proper divisors (28583960244480).

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

10379898005760 is an equidigital number, since it uses as much as digits as its factorization.

10379898005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48756 (or 48733 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 10379898005760 in words is "ten trillion, three hundred seventy-nine billion, eight hundred ninety-eight million, five thousand, seven hundred sixty".