10216125656 has 64 divisors (see below), whose sum is σ = 23290416000. Its totient is φ = 4140495360.

The previous prime is 10216125643. The next prime is 10216125697. The reversal of 10216125656 is 65652161201.

10216125656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 151286 + ... + 208133.

It is an arithmetic number, because the mean of its divisors is an integer number (363912750).

Almost surely, 2^10216125656 is an apocalyptic number.

It is an amenable number.

10216125656 is an abundant number, since it is smaller than the sum of its proper divisors (13074290344).

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

10216125656 is a wasteful number, since it uses less digits than its factorization.

10216125656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359472 (or 359468 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

Adding to 10216125656 its reverse (65652161201), we get a palindrome (75868286857).

The spelling of 10216125656 in words is "ten billion, two hundred sixteen million, one hundred twenty-five thousand, six hundred fifty-six".