10305225135560 has 128 divisors (see below), whose sum is σ = 23329693612800. Its totient is φ = 4096788433920.

The previous prime is 10305225135559. The next prime is 10305225135581. The reversal of 10305225135560 is 6553152250301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8426185109 + ... + 8426186331.

It is an arithmetic number, because the mean of its divisors is an integer number (182263231350).

Almost surely, 2^{10305225135560} is an apocalyptic number.

10305225135560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10305225135560 is an abundant number, since it is smaller than the sum of its proper divisors (13024468477240).

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

10305225135560 is a wasteful number, since it uses less digits than its factorization.

10305225135560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 38.

Adding to 10305225135560 its reverse (6553152250301), we get a palindrome (16858377385861).

The spelling of 10305225135560 in words is "ten trillion, three hundred five billion, two hundred twenty-five million, one hundred thirty-five thousand, five hundred sixty".