10755175464 has 160 divisors (see below), whose sum is σ = 33923831040. Its totient is φ = 3153945600.

The previous prime is 10755175463. The next prime is 10755175481. The reversal of 10755175464 is 46457155701.

10755175464 is a `hidden beast` number, since 1 + 0 + 75 + 51 + 75 + 464 = 666.

It is a super-2 number, since 2×10755175464² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10755175463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 196632 + ... + 245304.

It is an arithmetic number, because the mean of its divisors is an integer number (212023944).

Almost surely, 2^10755175464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10755175464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16961915520).

10755175464 is an abundant number, since it is smaller than the sum of its proper divisors (23168655576).

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

10755175464 is a wasteful number, since it uses less digits than its factorization.

10755175464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48733 (or 48720 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 10755175464 in words is "ten billion, seven hundred fifty-five million, one hundred seventy-five thousand, four hundred sixty-four".