10209922560 has 320 divisors, whose sum is σ = 38404238400. Its totient is φ = 2562195456.

The previous prime is 10209922507. The next prime is 10209922573. The reversal of 10209922560 is 6522990201.

It is a happy number.

10209922560 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 9 + 92 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1170696 + ... + 1179384.

It is an arithmetic number, because the mean of its divisors is an integer number (120013245).

Almost surely, 2^10209922560 is an apocalyptic number.

10209922560 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 10209922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19202119200).

10209922560 is an abundant number, since it is smaller than the sum of its proper divisors (28194315840).

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

10209922560 is an equidigital number, since it uses as much as digits as its factorization.

10209922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8738 (or 8716 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10209922560 in words is "ten billion, two hundred nine million, nine hundred twenty-two thousand, five hundred sixty".