20364355610304 has 224 divisors, whose sum is σ = 58742445888000. Its totient is φ = 6201668100096.

The previous prime is 20364355610293. The next prime is 20364355610309. The reversal of 20364355610304 is 40301655346302.

It is not an unprimeable number, because it can be changed into a prime (20364355610309) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 88644772 + ... + 88874204.

It is an arithmetic number, because the mean of its divisors is an integer number (262243062000).

Almost surely, 2^{20364355610304} is an apocalyptic number.

20364355610304 is a gapful number since it is divisible by the number (24) 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 20364355610304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29371222944000).

20364355610304 is an abundant number, since it is smaller than the sum of its proper divisors (38378090277696).

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

20364355610304 is a wasteful number, since it uses less digits than its factorization.

20364355610304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230335 (or 230325 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 20364355610304 in words is "twenty trillion, three hundred sixty-four billion, three hundred fifty-five million, six hundred ten thousand, three hundred four".