10289825280 has 960 divisors, whose sum is σ = 45042117120. Its totient is φ = 2197684224.

The previous prime is 10289825279. The next prime is 10289825311. The reversal of 10289825280 is 8252898201.

10289825280 is a `hidden beast` number, since 10 + 28 + 98 + 2 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 74027451 + ... + 74027589.

It is an arithmetic number, because the mean of its divisors is an integer number (46918872).

Almost surely, 2^10289825280 is an apocalyptic number.

10289825280 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 10289825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22521058560).

10289825280 is an abundant number, since it is smaller than the sum of its proper divisors (34752291840).

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

10289825280 is an equidigital number, since it uses as much as digits as its factorization.

10289825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 10289825280 in words is "ten billion, two hundred eighty-nine million, eight hundred twenty-five thousand, two hundred eighty".