10857973575680 has 832 divisors, whose sum is σ = 33782881766400. Its totient is φ = 3250386370560.

The previous prime is 10857973575671. The next prime is 10857973575703. The reversal of 10857973575680 is 8657537975801.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 10655518211 + ... + 10655519229.

It is an arithmetic number, because the mean of its divisors is an integer number (40604425200).

Almost surely, 2^{10857973575680} is an apocalyptic number.

10857973575680 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 10857973575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16891440883200).

10857973575680 is an abundant number, since it is smaller than the sum of its proper divisors (22924908190720).

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

10857973575680 is a wasteful number, since it uses less digits than its factorization.

10857973575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 444528000, while the sum is 71.

The spelling of 10857973575680 in words is "ten trillion, eight hundred fifty-seven billion, nine hundred seventy-three million, five hundred seventy-five thousand, six hundred eighty".