10565434880 has 960 divisors, whose sum is σ = 37617592320. Its totient is φ = 2786918400.

The previous prime is 10565434871. The next prime is 10565434909. The reversal of 10565434880 is 8843456501.

It is a super-2 number, since 2×10565434880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 340820465 + ... + 340820495.

It is an arithmetic number, because the mean of its divisors is an integer number (39184992).

Almost surely, 2^10565434880 is an apocalyptic number.

10565434880 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 10565434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808796160).

10565434880 is an abundant number, since it is smaller than the sum of its proper divisors (27052157440).

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

10565434880 is a wasteful number, since it uses less digits than its factorization.

10565434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 10565434880 in words is "ten billion, five hundred sixty-five million, four hundred thirty-four thousand, eight hundred eighty".