10695795182464 has 192 divisors, whose sum is σ = 26048850482160. Its totient is φ = 4356297179136.

The previous prime is 10695795182459. The next prime is 10695795182509. The reversal of 10695795182464 is 46428159759601.

It is a super-2 number, since 2×10695795182464² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10695795182464.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9442824 + ... + 10514680.

Almost surely, 2^{10695795182464} is an apocalyptic number.

10695795182464 is a gapful number since it is divisible by the number (14) 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 10695795182464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13024425241080).

10695795182464 is an abundant number, since it is smaller than the sum of its proper divisors (15353055299696).

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

10695795182464 is a wasteful number, since it uses less digits than its factorization.

10695795182464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071965 (or 1071946 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 67.

The spelling of 10695795182464 in words is "ten trillion, six hundred ninety-five billion, seven hundred ninety-five million, one hundred eighty-two thousand, four hundred sixty-four".