10289885760 has 448 divisors, whose sum is σ = 45260605440. Its totient is φ = 2138019840.

The previous prime is 10289885731. The next prime is 10289885773. The reversal of 10289885760 is 6758898201.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×10289885760³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10289885697 and 10289885706.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 657547 + ... + 673013.

Almost surely, 2^10289885760 is an apocalyptic number.

10289885760 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 10289885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22630302720).

10289885760 is an abundant number, since it is smaller than the sum of its proper divisors (34970719680).

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

10289885760 is a wasteful number, since it uses less digits than its factorization.

10289885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15511 (or 15495 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 10289885760 in words is "ten billion, two hundred eighty-nine million, eight hundred eighty-five thousand, seven hundred sixty".