10795692960 has 864 divisors, whose sum is σ = 43509892608. Its totient is φ = 2523156480.

The previous prime is 10795692913. The next prime is 10795692967. The reversal of 10795692960 is 6929659701.

10795692960 is a `hidden beast` number, since 1 + 0 + 79 + 569 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 10795692897 and 10795692906.

It is not an unprimeable number, because it can be changed into a prime (10795692967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 203692294 + ... + 203692346.

It is an arithmetic number, because the mean of its divisors is an integer number (50358672).

Almost surely, 2^10795692960 is an apocalyptic number.

10795692960 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 10795692960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21754946304).

10795692960 is an abundant number, since it is smaller than the sum of its proper divisors (32714199648).

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

10795692960 is a wasteful number, since it uses less digits than its factorization.

10795692960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 10795692960 in words is "ten billion, seven hundred ninety-five million, six hundred ninety-two thousand, nine hundred sixty".