10320315010560 has 320 divisors, whose sum is σ = 38588024851200. Its totient is φ = 2607237144576.

The previous prime is 10320315010559. The next prime is 10320315010583. The reversal of 10320315010560 is 6501051302301.

10320315010560 is a `hidden beast` number, since 1 + 0 + 3 + 20 + 31 + 50 + 1 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 2615934 + ... + 5242493.

It is an arithmetic number, because the mean of its divisors is an integer number (120587577660).

Almost surely, 2^{10320315010560} is an apocalyptic number.

10320315010560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320315010560 is an abundant number, since it is smaller than the sum of its proper divisors (28267709840640).

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

10320315010560 is an equidigital number, since it uses as much as digits as its factorization.

10320315010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7858478 (or 7858456 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 10320315010560 its reverse (6501051302301), we get a palindrome (16821366312861).

The spelling of 10320315010560 in words is "ten trillion, three hundred twenty billion, three hundred fifteen million, ten thousand, five hundred sixty".