10733968422288 has 60 divisors (see below), whose sum is σ = 30045775687980. Its totient is φ = 3577325764608.

The previous prime is 10733968422277. The next prime is 10733968422343. The reversal of 10733968422288 is 88222486933701.

10733968422288 is a `hidden beast` number, since 1 + 0 + 73 + 3 + 9 + 68 + 422 + 2 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10342733184144 + 391235238144 = 3216012^2 + 625488^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6134353 + ... + 7687536.

It is an arithmetic number, because the mean of its divisors is an integer number (500762928133).

Almost surely, 2^{10733968422288} is an apocalyptic number.

10733968422288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10733968422288 is an abundant number, since it is smaller than the sum of its proper divisors (19311807265692).

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

10733968422288 is a wasteful number, since it uses less digits than its factorization.

10733968422288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13827296 (or 13827287 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 10733968422288 in words is "ten trillion, seven hundred thirty-three billion, nine hundred sixty-eight million, four hundred twenty-two thousand, two hundred eighty-eight".