12922673175360 has 1344 divisors, whose sum is σ = 52362640512000. Its totient is φ = 2896351395840.

The previous prime is 12922673175359. The next prime is 12922673175409. The reversal of 12922673175360 is 6357137622921.

12922673175360 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 26 + 73 + 17 + 536 + 0 = 666.

It is a super-3 number, since 3×12922673175360³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12922673175297 and 12922673175306.

It is a congruent number.

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, 4930434850 + ... + 4930437470.

It is an arithmetic number, because the mean of its divisors is an integer number (38960298000).

Almost surely, 2^{12922673175360} is an apocalyptic number.

12922673175360 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 12922673175360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26181320256000).

12922673175360 is an abundant number, since it is smaller than the sum of its proper divisors (39439967336640).

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

12922673175360 is a wasteful number, since it uses less digits than its factorization.

12922673175360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 12922673175360 in words is "twelve trillion, nine hundred twenty-two billion, six hundred seventy-three million, one hundred seventy-five thousand, three hundred sixty".