10206561600 has 336 divisors, whose sum is σ = 38494411200. Its totient is φ = 2627573760.

The previous prime is 10206561557. The next prime is 10206561601. The reversal of 10206561600 is 616560201.

It is a happy number.

10206561600 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 56 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206561601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248727 + ... + 1256873.

It is an arithmetic number, because the mean of its divisors is an integer number (114566700).

Almost surely, 2^10206561600 is an apocalyptic number.

10206561600 is a gapful number since it is divisible by the number (10) 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 10206561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247205600).

10206561600 is an abundant number, since it is smaller than the sum of its proper divisors (28287849600).

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

10206561600 is a wasteful number, since it uses less digits than its factorization.

10206561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8207 (or 8186 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10206561600 in words is "ten billion, two hundred six million, five hundred sixty-one thousand, six hundred".