2563379112200 has 96 divisors (see below), whose sum is σ = 6311691282600. Its totient is φ = 964844912640.

The previous prime is 2563379112193. The next prime is 2563379112209. The reversal of 2563379112200 is 22119733652.

It can be written as a sum of positive squares in 12 ways, for example, as 455870733124 + 2107508379076 = 675182^2 + 1451726^2 .

It is not an unprimeable number, because it can be changed into a prime (2563379112209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17638232 + ... + 17782968.

Almost surely, 2^{2563379112200} is an apocalyptic number.

2563379112200 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 2563379112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155845641300).

2563379112200 is an abundant number, since it is smaller than the sum of its proper divisors (3748312170400).

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

2563379112200 is a wasteful number, since it uses less digits than its factorization.

2563379112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149979 (or 149970 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The spelling of 2563379112200 in words is "two trillion, five hundred sixty-three billion, three hundred seventy-nine million, one hundred twelve thousand, two hundred".