20849544115200 has 2640 divisors, whose sum is σ = 83406207565824. Its totient is φ = 5137086873600.

The previous prime is 20849544115189. The next prime is 20849544115201. The reversal of 20849544115200 is 251144594802.

20849544115200 is a `hidden beast` number, since 2 + 0 + 8 + 49 + 544 + 11 + 52 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20849544115201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 202422758349 + ... + 202422758451.

Almost surely, 2^{20849544115200} is an apocalyptic number.

20849544115200 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 20849544115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41703103782912).

20849544115200 is an abundant number, since it is smaller than the sum of its proper divisors (62556663450624).

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

20849544115200 is a wasteful number, since it uses less digits than its factorization.

20849544115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 20849544115200 in words is "twenty trillion, eight hundred forty-nine billion, five hundred forty-four million, one hundred fifteen thousand, two hundred".