2103509968560 has 960 divisors, whose sum is σ = 9496048214016. Its totient is φ = 402997248000.

The previous prime is 2103509968559. The next prime is 2103509968561. The reversal of 2103509968560 is 658699053012.

It is a happy number.

2103509968560 is a `hidden beast` number, since 2 + 10 + 3 + 5 + 0 + 9 + 9 + 68 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2103509968559) and next prime (2103509968561).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2103509968497 and 2103509968506.

It is not an unprimeable number, because it can be changed into a prime (2103509968561) 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 191 ways as a sum of consecutive naturals, for example, 1153871809 + ... + 1153873631.

Almost surely, 2^{2103509968560} is an apocalyptic number.

2103509968560 is a gapful number since it is divisible by the number (20) 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 2103509968560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748024107008).

2103509968560 is an abundant number, since it is smaller than the sum of its proper divisors (7392538245456).

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

2103509968560 is a wasteful number, since it uses less digits than its factorization.

2103509968560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 2103509968560 in words is "two trillion, one hundred three billion, five hundred nine million, nine hundred sixty-eight thousand, five hundred sixty".