10657844575872 has 192 divisors, whose sum is σ = 30764243957760. Its totient is φ = 3267660963840.

The previous prime is 10657844575867. The next prime is 10657844575907. The reversal of 10657844575872 is 27857544875601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10657844575872² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10657844575797 and 10657844575806.

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 23 ways as a sum of consecutive naturals, for example, 17943553 + ... + 18527999.

It is an arithmetic number, because the mean of its divisors is an integer number (160230437280).

Almost surely, 2^{10657844575872} is an apocalyptic number.

10657844575872 is a gapful number since it is divisible by the number (12) 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 10657844575872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15382121978880).

10657844575872 is an abundant number, since it is smaller than the sum of its proper divisors (20106399381888).

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

10657844575872 is a wasteful number, since it uses less digits than its factorization.

10657844575872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584771 (or 584746 counting only the distinct ones).

The product of its (nonzero) digits is 526848000, while the sum is 69.

The spelling of 10657844575872 in words is "ten trillion, six hundred fifty-seven billion, eight hundred forty-four million, five hundred seventy-five thousand, eight hundred seventy-two".