10757260944 has 80 divisors (see below), whose sum is σ = 30966738240. Its totient is φ = 3575370240.

The previous prime is 10757260933. The next prime is 10757260949. The reversal of 10757260944 is 44906275701.

10757260944 is a `hidden beast` number, since 10 + 7 + 572 + 60 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×10757260944² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10757260944.

It is not an unprimeable number, because it can be changed into a prime (10757260949) 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 15 ways as a sum of consecutive naturals, for example, 114024 + ... + 185784.

It is an arithmetic number, because the mean of its divisors is an integer number (387084228).

Almost surely, 2^10757260944 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 10757260944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15483369120).

10757260944 is an abundant number, since it is smaller than the sum of its proper divisors (20209477296).

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

10757260944 is a wasteful number, since it uses less digits than its factorization.

10757260944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72125 (or 72113 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

It can be divided in two parts, 107 and 57260944, that added together give a triangular number (57261051 = T₁₀₇₀₁).

The spelling of 10757260944 in words is "ten billion, seven hundred fifty-seven million, two hundred sixty thousand, nine hundred forty-four".