2068544050560 has 384 divisors, whose sum is σ = 7702615720800. Its totient is φ = 508503785472.

The previous prime is 2068544050513. The next prime is 2068544050561. The reversal of 2068544050560 is 650504458602.

2068544050560 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 544 + 0 + 50 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068544050561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57564759 + ... + 57600681.

Almost surely, 2^{2068544050560} is an apocalyptic number.

2068544050560 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 2068544050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851307860400).

2068544050560 is an abundant number, since it is smaller than the sum of its proper divisors (5634071670240).

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

2068544050560 is a wasteful number, since it uses less digits than its factorization.

2068544050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36730 (or 36715 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 2068544050560 in words is "two trillion, sixty-eight billion, five hundred forty-four million, fifty thousand, five hundred sixty".