20315100644560 has 40 divisors (see below), whose sum is σ = 47408194955880. Its totient is φ = 8095831921152.

The previous prime is 20315100644521. The next prime is 20315100644561. The reversal of 20315100644560 is 6544600151302.

It can be written as a sum of positive squares in 4 ways, for example, as 2145205481104 + 18169895163456 = 1464652^2 + 4262616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20315100644561) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 471983607 + ... + 472026646.

It is an arithmetic number, because the mean of its divisors is an integer number (1185204873897).

Almost surely, 2^{20315100644560} is an apocalyptic number.

20315100644560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20315100644560 is an abundant number, since it is smaller than the sum of its proper divisors (27093094311320).

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

20315100644560 is a wasteful number, since it uses less digits than its factorization.

20315100644560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944010535 (or 944010529 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 20315100644560 its reverse (6544600151302), we get a palindrome (26859700795862).

The spelling of 20315100644560 in words is "twenty trillion, three hundred fifteen billion, one hundred million, six hundred forty-four thousand, five hundred sixty".