20972786701200 has 240 divisors, whose sum is σ = 67349822597376. Its totient is φ = 5578851801600.

The previous prime is 20972786701189. The next prime is 20972786701241. The reversal of 20972786701200 is 210768727902.

20972786701200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1580816967 + ... + 1580830233.

Almost surely, 2^{20972786701200} is an apocalyptic number.

20972786701200 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 20972786701200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33674911298688).

20972786701200 is an abundant number, since it is smaller than the sum of its proper divisors (46377035896176).

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

20972786701200 is a wasteful number, since it uses less digits than its factorization.

20972786701200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16462 (or 16451 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 20972786701200 in words is "twenty trillion, nine hundred seventy-two billion, seven hundred eighty-six million, seven hundred one thousand, two hundred".