10509998563288 has 64 divisors (see below), whose sum is σ = 23141079244800. Its totient is φ = 4380469787520.

The previous prime is 10509998563213. The next prime is 10509998563297. The reversal of 10509998563288 is 88236589990501.

It is a super-2 number, since 2×10509998563288² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10509998563288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3172573 + ... + 5575411.

It is an arithmetic number, because the mean of its divisors is an integer number (361579363200).

Almost surely, 2^{10509998563288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10509998563288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11570539622400).

10509998563288 is an abundant number, since it is smaller than the sum of its proper divisors (12631080681512).

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

10509998563288 is a wasteful number, since it uses less digits than its factorization.

10509998563288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405000 (or 2404996 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 73.

The spelling of 10509998563288 in words is "ten trillion, five hundred nine billion, nine hundred ninety-eight million, five hundred sixty-three thousand, two hundred eighty-eight".