10205145116256 has 96 divisors (see below), whose sum is σ = 27457263187200. Its totient is φ = 3317057662464.

The previous prime is 10205145116251. The next prime is 10205145116263. The reversal of 10205145116256 is 65261154150201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205145116251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409086 + ... + 4536258.

It is an arithmetic number, because the mean of its divisors is an integer number (286013158200).

Almost surely, 2^{10205145116256} is an apocalyptic number.

10205145116256 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 10205145116256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13728631593600).

10205145116256 is an abundant number, since it is smaller than the sum of its proper divisors (17252118070944).

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

10205145116256 is a wasteful number, since it uses less digits than its factorization.

10205145116256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127828 (or 4127820 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

Adding to 10205145116256 its reverse (65261154150201), we get a palindrome (75466299266457).

The spelling of 10205145116256 in words is "ten trillion, two hundred five billion, one hundred forty-five million, one hundred sixteen thousand, two hundred fifty-six".