10882646775 has 288 divisors, whose sum is σ = 26409976320. Its totient is φ = 4136832000.

The previous prime is 10882646771. The next prime is 10882646779. The reversal of 10882646775 is 57764628801.

10882646775 is a `hidden beast` number, since 10 + 88 + 26 + 467 + 75 = 666.

It is an interprime number because it is at equal distance from previous prime (10882646771) and next prime (10882646779).

It is not a de Polignac number, because 10882646775 - 2² = 10882646771 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10882646771) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47522361 + ... + 47522589.

Almost surely, 2^10882646775 is an apocalyptic number.

10882646775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10882646775 is an abundant number, since it is smaller than the sum of its proper divisors (15527329545).

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

10882646775 is a wasteful number, since it uses less digits than its factorization.

10882646775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 10882646775 in words is "ten billion, eight hundred eighty-two million, six hundred forty-six thousand, seven hundred seventy-five".