10791461471760 has 480 divisors, whose sum is σ = 39975463906560. Its totient is φ = 2597592268800.

The previous prime is 10791461471753. The next prime is 10791461471761. The reversal of 10791461471760 is 6717416419701.

10791461471760 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 1 + 4 + 614 + 7 + 17 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10791461471697 and 10791461471706.

It is not an unprimeable number, because it can be changed into a prime (10791461471761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29426325 + ... + 29790795.

It is an arithmetic number, because the mean of its divisors is an integer number (83282216472).

Almost surely, 2^{10791461471760} is an apocalyptic number.

10791461471760 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 10791461471760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19987731953280).

10791461471760 is an abundant number, since it is smaller than the sum of its proper divisors (29184002434800).

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

10791461471760 is a wasteful number, since it uses less digits than its factorization.

10791461471760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364607 (or 364598 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 10791461471760 in words is "ten trillion, seven hundred ninety-one billion, four hundred sixty-one million, four hundred seventy-one thousand, seven hundred sixty".