10565517408 has 96 divisors (see below), whose sum is σ = 29437914240. Its totient is φ = 3306547200.

The previous prime is 10565517407. The next prime is 10565517467. The reversal of 10565517408 is 80471556501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10565517408² (a number of 21 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 10565517408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10565517407) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 676083 + ... + 691533.

It is an arithmetic number, because the mean of its divisors is an integer number (306644940).

Almost surely, 2^10565517408 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 10565517408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14718957120).

10565517408 is an abundant number, since it is smaller than the sum of its proper divisors (18872396832).

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

10565517408 is a wasteful number, since it uses less digits than its factorization.

10565517408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15900 (or 15892 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 42.

The spelling of 10565517408 in words is "ten billion, five hundred sixty-five million, five hundred seventeen thousand, four hundred eight".