10792665711360 has 1440 divisors, whose sum is σ = 44083346334720. Its totient is φ = 2499268608000.

The previous prime is 10792665711293. The next prime is 10792665711361. The reversal of 10792665711360 is 6311756629701.

10792665711360 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 2 + 6 + 6 + 571 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 10792665711297 and 10792665711306.

It is not an unprimeable number, because it can be changed into a prime (10792665711361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3866951565 + ... + 3866954355.

Almost surely, 2^{10792665711360} is an apocalyptic number.

10792665711360 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 10792665711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22041673167360).

10792665711360 is an abundant number, since it is smaller than the sum of its proper divisors (33290680623360).

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

10792665711360 is a wasteful number, since it uses less digits than its factorization.

10792665711360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 10792665711360 in words is "ten trillion, seven hundred ninety-two billion, six hundred sixty-five million, seven hundred eleven thousand, three hundred sixty".