20364475942800 has 720 divisors, whose sum is σ = 80931037224960. Its totient is φ = 4696596864000.

The previous prime is 20364475942793. The next prime is 20364475942873. The reversal of 20364475942800 is 824957446302.

It is a happy number.

20364475942800 is a `hidden beast` number, since 2 + 0 + 3 + 6 + 4 + 47 + 594 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72287817 + ... + 72568983.

It is an arithmetic number, because the mean of its divisors is an integer number (112404218368).

Almost surely, 2^{20364475942800} is an apocalyptic number.

20364475942800 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 20364475942800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40465518612480).

20364475942800 is an abundant number, since it is smaller than the sum of its proper divisors (60566561282160).

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

20364475942800 is a wasteful number, since it uses less digits than its factorization.

20364475942800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281292 (or 281278 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 20364475942800 in words is "twenty trillion, three hundred sixty-four billion, four hundred seventy-five million, nine hundred forty-two thousand, eight hundred".