20578985971200 has 1200 divisors, whose sum is σ = 80569225799040. Its totient is φ = 5173217280000.

The previous prime is 20578985971199. The next prime is 20578985971241. The reversal of 20578985971200 is 217958987502.

20578985971200 is a `hidden beast` number, since 2 + 0 + 578 + 9 + 8 + 59 + 7 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 4156528725 + ... + 4156533675.

Almost surely, 2^{20578985971200} is an apocalyptic number.

20578985971200 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 20578985971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40284612899520).

20578985971200 is an abundant number, since it is smaller than the sum of its proper divisors (59990239827840).

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

20578985971200 is a wasteful number, since it uses less digits than its factorization.

20578985971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 20578985971200 in words is "twenty trillion, five hundred seventy-eight billion, nine hundred eighty-five million, nine hundred seventy-one thousand, two hundred".