10305220560 has 80 divisors (see below), whose sum is σ = 31964025600. Its totient is φ = 2746524160.

The previous prime is 10305220553. The next prime is 10305220561. The reversal of 10305220560 is 6502250301.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10305220560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305220561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456745 + ... + 478775.

It is an arithmetic number, because the mean of its divisors is an integer number (399550320).

Almost surely, 2^10305220560 is an apocalyptic number.

10305220560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10305220560 is an abundant number, since it is smaller than the sum of its proper divisors (21658805040).

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

10305220560 is a wasteful number, since it uses less digits than its factorization.

10305220560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23996 (or 23990 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 10305220560 its reverse (6502250301), we get a palindrome (16807470861).

The spelling of 10305220560 in words is "ten billion, three hundred five million, two hundred twenty thousand, five hundred sixty".