2563411443120 has 1280 divisors, whose sum is σ = 10367336448000. Its totient is φ = 575917056000.

The previous prime is 2563411443083. The next prime is 2563411443127. The reversal of 2563411443120 is 213441143652.

2563411443120 is a `hidden beast` number, since 2 + 5 + 634 + 1 + 1 + 4 + 4 + 3 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2563411443127) 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 255 ways as a sum of consecutive naturals, for example, 4279484581 + ... + 4279485179.

It is an arithmetic number, because the mean of its divisors is an integer number (8099481600).

Almost surely, 2^{2563411443120} is an apocalyptic number.

2563411443120 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 2563411443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183668224000).

2563411443120 is an abundant number, since it is smaller than the sum of its proper divisors (7803925004880).

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

2563411443120 is a wasteful number, since it uses less digits than its factorization.

2563411443120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 2563411443120 its reverse (213441143652), we get a palindrome (2776852586772).

The spelling of 2563411443120 in words is "two trillion, five hundred sixty-three billion, four hundred eleven million, four hundred forty-three thousand, one hundred twenty".