10938743917056 has 480 divisors, whose sum is σ = 32682399317568. Its totient is φ = 3519479808000.

The previous prime is 10938743917009. The next prime is 10938743917067. The reversal of 10938743917056 is 65071934783901.

10938743917056 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 87 + 439 + 1 + 70 + 56 = 666.

It is a super-2 number, since 2×10938743917056² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10938743916984 and 10938743917002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18957961440 + ... + 18957962016.

Almost surely, 2^{10938743917056} is an apocalyptic number.

10938743917056 is a gapful number since it is divisible by the number (16) 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 10938743917056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16341199658784).

10938743917056 is an abundant number, since it is smaller than the sum of its proper divisors (21743655400512).

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

10938743917056 is a wasteful number, since it uses less digits than its factorization.

10938743917056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 10938743917056 in words is "ten trillion, nine hundred thirty-eight billion, seven hundred forty-three million, nine hundred seventeen thousand, fifty-six".