10793875207680 has 640 divisors, whose sum is σ = 38993282127360. Its totient is φ = 2829558251520.

The previous prime is 10793875207627. The next prime is 10793875207723. The reversal of 10793875207680 is 8670257839701.

10793875207680 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 38 + 7 + 520 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2533176750 + ... + 2533181010.

It is an arithmetic number, because the mean of its divisors is an integer number (60927003324).

Almost surely, 2^{10793875207680} is an apocalyptic number.

10793875207680 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 10793875207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19496641063680).

10793875207680 is an abundant number, since it is smaller than the sum of its proper divisors (28199406919680).

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

10793875207680 is an equidigital number, since it uses as much as digits as its factorization.

10793875207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4907 (or 4885 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 10793875207680 in words is "ten trillion, seven hundred ninety-three billion, eight hundred seventy-five million, two hundred seven thousand, six hundred eighty".