10794290605056 has 528 divisors, whose sum is σ = 37286062684416. Its totient is φ = 3055207071744.

The previous prime is 10794290605037. The next prime is 10794290605061. The reversal of 10794290605056 is 65050609249701.

10794290605056 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 4 + 29 + 0 + 605 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10794290604993 and 10794290605011.

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, 186346210 + ... + 186404126.

Almost surely, 2^{10794290605056} is an apocalyptic number.

10794290605056 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 10794290605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18643031342208).

10794290605056 is an abundant number, since it is smaller than the sum of its proper divisors (26491772079360).

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

10794290605056 is an equidigital number, since it uses as much as digits as its factorization.

10794290605056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58066 (or 58036 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 10794290605056 in words is "ten trillion, seven hundred ninety-four billion, two hundred ninety million, six hundred five thousand, fifty-six".