10311340166256 has 160 divisors (see below), whose sum is σ = 27601683379200. Its totient is φ = 3314856079360.

The previous prime is 10311340166251. The next prime is 10311340166263. The reversal of 10311340166256 is 65266104311301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311340166251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64358215 + ... + 64518233.

It is an arithmetic number, because the mean of its divisors is an integer number (172510521120).

Almost surely, 2^{10311340166256} is an apocalyptic number.

10311340166256 is a gapful number since it is divisible by the number (16) 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 10311340166256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13800841689600).

10311340166256 is an abundant number, since it is smaller than the sum of its proper divisors (17290343212944).

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

10311340166256 is a wasteful number, since it uses less digits than its factorization.

10311340166256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160447 (or 160441 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

Adding to 10311340166256 its reverse (65266104311301), we get a palindrome (75577444477557).

The spelling of 10311340166256 in words is "ten trillion, three hundred eleven billion, three hundred forty million, one hundred sixty-six thousand, two hundred fifty-six".