2053568671560 has 192 divisors, whose sum is σ = 7741385308800. Its totient is φ = 462381308928.

The previous prime is 2053568671549. The next prime is 2053568671571. The reversal of 2053568671560 is 651768653502.

It is a happy number.

2053568671560 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 5 + 6 + 8 + 6 + 71 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2053568671549) and next prime (2053568671571).

It is a junction number, because it is equal to n+sod(n) for n = 2053568671497 and 2053568671506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5912565 + ... + 6250244.

It is an arithmetic number, because the mean of its divisors is an integer number (40319715150).

Almost surely, 2^{2053568671560} is an apocalyptic number.

2053568671560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2053568671560 is an abundant number, since it is smaller than the sum of its proper divisors (5687816637240).

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

2053568671560 is a wasteful number, since it uses less digits than its factorization.

2053568671560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12162900 (or 12162893 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2053568671560 in words is "two trillion, fifty-three billion, five hundred sixty-eight million, six hundred seventy-one thousand, five hundred sixty".