20545913203200 has 5760 divisors, whose sum is σ = 104637434204160. Its totient is φ = 3715891200000.

The previous prime is 20545913203111. The next prime is 20545913203201. The reversal of 20545913203200 is 230231954502.

20545913203200 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 5 + 9 + 1 + 320 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20545913203201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 203424883150 + ... + 203424883250.

It is an arithmetic number, because the mean of its divisors is an integer number (18166221216).

Almost surely, 2^{20545913203200} is an apocalyptic number.

20545913203200 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 20545913203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52318717102080).

20545913203200 is an abundant number, since it is smaller than the sum of its proper divisors (84091521000960).

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

20545913203200 is a wasteful number, since it uses less digits than its factorization.

20545913203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 20545913203200 in words is "twenty trillion, five hundred forty-five billion, nine hundred thirteen million, two hundred three thousand, two hundred".