10685361960 has 192 divisors, whose sum is σ = 42741578880. Its totient is φ = 2254487040.

The previous prime is 10685361931. The next prime is 10685361961. The reversal of 10685361960 is 6916358601.

10685361960 is a `hidden beast` number, since 106 + 8 + 536 + 1 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×10685361960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10685361961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130326 + ... + 195845.

It is an arithmetic number, because the mean of its divisors is an integer number (222612390).

Almost surely, 2^10685361960 is an apocalyptic number.

10685361960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10685361960 is an abundant number, since it is smaller than the sum of its proper divisors (32056216920).

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

10685361960 is a wasteful number, since it uses less digits than its factorization.

10685361960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326208 (or 326201 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10685361960 in words is "ten billion, six hundred eighty-five million, three hundred sixty-one thousand, nine hundred sixty".