10965256775820 has 144 divisors (see below), whose sum is σ = 35219034264960. Its totient is φ = 2751969927168.

The previous prime is 10965256775819. The next prime is 10965256775873. The reversal of 10965256775820 is 2857765256901.

10965256775820 is a `hidden beast` number, since 1 + 0 + 9 + 65 + 2 + 567 + 7 + 5 + 8 + 2 + 0 = 666.

It is an unprimeable number.

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, 144635844 + ... + 144711636.

It is an arithmetic number, because the mean of its divisors is an integer number (244576626840).

Almost surely, 2^{10965256775820} is an apocalyptic number.

10965256775820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10965256775820 is an abundant number, since it is smaller than the sum of its proper divisors (24253777489140).

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

10965256775820 is a wasteful number, since it uses less digits than its factorization.

10965256775820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123104 (or 123099 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 10965256775820 in words is "ten trillion, nine hundred sixty-five billion, two hundred fifty-six million, seven hundred seventy-five thousand, eight hundred twenty".