10760359240 has 64 divisors (see below), whose sum is σ = 25024071600. Its totient is φ = 4161051648.

The previous prime is 10760359237. The next prime is 10760359249. The reversal of 10760359240 is 4295306701.

It can be written as a sum of positive squares in 8 ways, for example, as 7695851076 + 3064508164 = 87726^2 + 55358^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 10760359240.

It is not an unprimeable number, because it can be changed into a prime (10760359249) 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, 209206 + ... + 255514.

Almost surely, 2^10760359240 is an apocalyptic number.

10760359240 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 10760359240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12512035800).

10760359240 is an abundant number, since it is smaller than the sum of its proper divisors (14263712360).

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

10760359240 is a wasteful number, since it uses less digits than its factorization.

10760359240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46514 (or 46510 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 10760359240 in words is "ten billion, seven hundred sixty million, three hundred fifty-nine thousand, two hundred forty".