20855898307200 has 384 divisors, whose sum is σ = 74951443425600. Its totient is φ = 5055138201600.

The previous prime is 20855898307193. The next prime is 20855898307207. The reversal of 20855898307200 is 270389855802.

It is an interprime number because it is at equal distance from previous prime (20855898307193) and next prime (20855898307207).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (20855898307207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 844048446 + ... + 844073154.

Almost surely, 2^{20855898307200} is an apocalyptic number.

20855898307200 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 20855898307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37475721712800).

20855898307200 is an abundant number, since it is smaller than the sum of its proper divisors (54095545118400).

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

20855898307200 is a wasteful number, since it uses less digits than its factorization.

20855898307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32740 (or 32723 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 20855898307200 in words is "twenty trillion, eight hundred fifty-five billion, eight hundred ninety-eight million, three hundred seven thousand, two hundred".