10206221546256 has 80 divisors (see below), whose sum is σ = 26597098438656. Its totient is φ = 3372373035648.

The previous prime is 10206221546251. The next prime is 10206221546333. The reversal of 10206221546256 is 65264512260201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10206221546251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1293621 + ... + 4699563.

Almost surely, 2^{10206221546256} is an apocalyptic number.

10206221546256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10206221546256 is an abundant number, since it is smaller than the sum of its proper divisors (16390876892400).

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

10206221546256 is a wasteful number, since it uses less digits than its factorization.

10206221546256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406500 (or 3406494 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 10206221546256 in words is "ten trillion, two hundred six billion, two hundred twenty-one million, five hundred forty-six thousand, two hundred fifty-six".