10445084560 has 80 divisors (see below), whose sum is σ = 24911655552. Its totient is φ = 4070476800.

The previous prime is 10445084539. The next prime is 10445084581. The reversal of 10445084560 is 6548054401.

10445084560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10445084539) and next prime (10445084581).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2973205 + ... + 2976715.

Almost surely, 2^10445084560 is an apocalyptic number.

10445084560 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 10445084560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12455827776).

10445084560 is an abundant number, since it is smaller than the sum of its proper divisors (14466570992).

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

10445084560 is a wasteful number, since it uses less digits than its factorization.

10445084560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 10445084560 in words is "ten billion, four hundred forty-five million, eighty-four thousand, five hundred sixty".