20240776221600 has 288 divisors, whose sum is σ = 71945775175680. Its totient is φ = 4901897088000.

The previous prime is 20240776221581. The next prime is 20240776221643. The reversal of 20240776221600 is 612267704202.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 25775571 + ... + 26549229.

It is an arithmetic number, because the mean of its divisors is an integer number (249811719360).

Almost surely, 2^{20240776221600} is an apocalyptic number.

20240776221600 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 20240776221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35972887587840).

20240776221600 is an abundant number, since it is smaller than the sum of its proper divisors (51704998954080).

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

20240776221600 is a wasteful number, since it uses less digits than its factorization.

20240776221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774684 (or 774671 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 20240776221600 in words is "twenty trillion, two hundred forty billion, seven hundred seventy-six million, two hundred twenty-one thousand, six hundred".