10865141760 has 576 divisors, whose sum is σ = 39736569600. Its totient is φ = 2530344960.

The previous prime is 10865141759. The next prime is 10865141783. The reversal of 10865141760 is 6714156801.

It is a super-4 number, since 4×10865141760⁴ (a number of 41 digits) contains 4444 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 137533401 + ... + 137533479.

It is an arithmetic number, because the mean of its divisors is an integer number (68987100).

Almost surely, 2^10865141760 is an apocalyptic number.

10865141760 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 10865141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19868284800).

10865141760 is an abundant number, since it is smaller than the sum of its proper divisors (28871427840).

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

10865141760 is a wasteful number, since it uses less digits than its factorization.

10865141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 10865141760 in words is "ten billion, eight hundred sixty-five million, one hundred forty-one thousand, seven hundred sixty".