10785923079360 has 1344 divisors, whose sum is σ = 42235694161920. Its totient is φ = 2313968025600.

The previous prime is 10785923079299. The next prime is 10785923079377. The reversal of 10785923079360 is 6397032958701.

It is a super-2 number, since 2×10785923079360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 10785923079294 and 10785923079303.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5289809221 + ... + 5289811259.

It is an arithmetic number, because the mean of its divisors is an integer number (31425367680).

Almost surely, 2^{10785923079360} is an apocalyptic number.

10785923079360 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 10785923079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21117847080960).

10785923079360 is an abundant number, since it is smaller than the sum of its proper divisors (31449771082560).

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

10785923079360 is a wasteful number, since it uses less digits than its factorization.

10785923079360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 10785923079360 in words is "ten trillion, seven hundred eighty-five billion, nine hundred twenty-three million, seventy-nine thousand, three hundred sixty".