10405545560 has 128 divisors (see below), whose sum is σ = 24704870400. Its totient is φ = 3939425280.

The previous prime is 10405545559. The next prime is 10405545571. The reversal of 10405545560 is 6554550401.

It is a self number, because there is not a number n which added to its sum of digits gives 10405545560.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12581867 + ... + 12582693.

It is an arithmetic number, because the mean of its divisors is an integer number (193006800).

Almost surely, 2^10405545560 is an apocalyptic number.

10405545560 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 10405545560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12352435200).

10405545560 is an abundant number, since it is smaller than the sum of its proper divisors (14299324840).

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

10405545560 is a wasteful number, since it uses less digits than its factorization.

10405545560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 10405545560 in words is "ten billion, four hundred five million, five hundred forty-five thousand, five hundred sixty".