10741540160 has 112 divisors (see below), whose sum is σ = 27799741200. Its totient is φ = 3929554944.

The previous prime is 10741540127. The next prime is 10741540163. The reversal of 10741540160 is 6104514701.

It can be written as a sum of positive squares in 8 ways, for example, as 2286369856 + 8455170304 = 47816^2 + 91952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10741540163) 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, 441596 + ... + 465284.

It is an arithmetic number, because the mean of its divisors is an integer number (248211975).

Almost surely, 2^10741540160 is an apocalyptic number.

10741540160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10741540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899870600).

10741540160 is an abundant number, since it is smaller than the sum of its proper divisors (17058201040).

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

10741540160 is a wasteful number, since it uses less digits than its factorization.

10741540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23828 (or 23818 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 10741540160 in words is "ten billion, seven hundred forty-one million, five hundred forty thousand, one hundred sixty".