10755531367137 has 12 divisors (see below), whose sum is σ = 15549929593380. Its totient is φ = 7163817907968.

The previous prime is 10755531367123. The next prime is 10755531367151. The reversal of 10755531367137 is 73176313555701.

10755531367137 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 5 + 531 + 3 + 6 + 71 + 37 = 666.

It is an interprime number because it is at equal distance from previous prime (10755531367123) and next prime (10755531367151).

It can be written as a sum of positive squares in 2 ways, for example, as 1795321290816 + 8960210076321 = 1339896^2 + 2993361^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10755531367137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10755531367177) 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 11 ways as a sum of consecutive naturals, for example, 544684312 + ... + 544704057.

It is an arithmetic number, because the mean of its divisors is an integer number (1295827466115).

Almost surely, 2^{10755531367137} is an apocalyptic number.

It is an amenable number.

10755531367137 is a deficient number, since it is larger than the sum of its proper divisors (4794398226243).

10755531367137 is a wasteful number, since it uses less digits than its factorization.

10755531367137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089389472 (or 1089389469 counting only the distinct ones).

The product of its (nonzero) digits is 6945750, while the sum is 54.

The spelling of 10755531367137 in words is "ten trillion, seven hundred fifty-five billion, five hundred thirty-one million, three hundred sixty-seven thousand, one hundred thirty-seven".