20777375476800 has 504 divisors, whose sum is σ = 74121931283400. Its totient is φ = 5520098918400.

The previous prime is 20777375476799. The next prime is 20777375476849. The reversal of 20777375476800 is 867457377702.

20777375476800 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 7 + 3 + 7 + 547 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 15193530860544 + 5583844616256 = 3897888^2 + 2363016^2 .

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, 5131481176 + ... + 5131485224.

It is an arithmetic number, because the mean of its divisors is an integer number (147067323975).

Almost surely, 2^{20777375476800} is an apocalyptic number.

20777375476800 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 20777375476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37060965641700).

20777375476800 is an abundant number, since it is smaller than the sum of its proper divisors (53344555806600).

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

20777375476800 is a wasteful number, since it uses less digits than its factorization.

20777375476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 96808320, while the sum is 63.

The spelling of 20777375476800 in words is "twenty trillion, seven hundred seventy-seven billion, three hundred seventy-five million, four hundred seventy-six thousand, eight hundred".