10750934628864 has 160 divisors (see below), whose sum is σ = 31825890096000. Its totient is φ = 3583377211392.

The previous prime is 10750934628829. The next prime is 10750934628869. The reversal of 10750934628864 is 46882643905701.

10750934628864 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 0 + 9 + 346 + 288 + 6 + 4 = 666.

It is a super-2 number, since 2×10750934628864² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10750934628869) 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 15 ways as a sum of consecutive naturals, for example, 289303917 + ... + 289341075.

It is an arithmetic number, because the mean of its divisors is an integer number (198911813100).

It is a 1-persistent number, because it is pandigital, but 2⋅10750934628864 = 21501869257728 is not.

Almost surely, 2^{10750934628864} 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 10750934628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912945048000).

10750934628864 is an abundant number, since it is smaller than the sum of its proper divisors (21074955467136).

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

10750934628864 is an equidigital number, since it uses as much as digits as its factorization.

10750934628864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58115 (or 58093 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 10750934628864 in words is "ten trillion, seven hundred fifty billion, nine hundred thirty-four million, six hundred twenty-eight thousand, eight hundred sixty-four".