10206564644232 has 192 divisors, whose sum is σ = 31471772866560. Its totient is φ = 2957964451200.

The previous prime is 10206564644203. The next prime is 10206564644249. The reversal of 10206564644232 is 23244646560201.

It is a happy number.

10206564644232 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 564 + 64 + 4 + 23 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127307983 + ... + 127388129.

It is an arithmetic number, because the mean of its divisors is an integer number (163915483680).

Almost surely, 2^{10206564644232} is an apocalyptic number.

10206564644232 is a gapful number since it is divisible by the number (12) 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 10206564644232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15735886433280).

10206564644232 is an abundant number, since it is smaller than the sum of its proper divisors (21265208222328).

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

10206564644232 is a wasteful number, since it uses less digits than its factorization.

10206564644232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87184 (or 87177 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 10206564644232 in words is "ten trillion, two hundred six billion, five hundred sixty-four million, six hundred forty-four thousand, two hundred thirty-two".