2563604524800 has 648 divisors, whose sum is σ = 10077734983680. Its totient is φ = 616566988800.

The previous prime is 2563604524753. The next prime is 2563604524889. The reversal of 2563604524800 is 84254063652.

2563604524800 is a `hidden beast` number, since 2 + 5 + 6 + 360 + 45 + 248 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80451271 + ... + 80483129.

It is an arithmetic number, because the mean of its divisors is an integer number (15552060160).

Almost surely, 2^{2563604524800} is an apocalyptic number.

2563604524800 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 2563604524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038867491840).

2563604524800 is an abundant number, since it is smaller than the sum of its proper divisors (7514130458880).

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

2563604524800 is a wasteful number, since it uses less digits than its factorization.

2563604524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32029 (or 32007 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2563604524800 in words is "two trillion, five hundred sixty-three billion, six hundred four million, five hundred twenty-four thousand, eight hundred".