20312384716800 has 2160 divisors, whose sum is σ = 85797238625280. Its totient is φ = 4541644800000.

The previous prime is 20312384716783. The next prime is 20312384716859. The reversal of 20312384716800 is 861748321302.

20312384716800 is a `hidden beast` number, since 203 + 1 + 2 + 384 + 7 + 1 + 68 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27047116425 + ... + 27047117175.

It is an arithmetic number, because the mean of its divisors is an integer number (39720943808).

Almost surely, 2^{20312384716800} is an apocalyptic number.

20312384716800 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 20312384716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42898619312640).

20312384716800 is an abundant number, since it is smaller than the sum of its proper divisors (65484853908480).

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

20312384716800 is a wasteful number, since it uses less digits than its factorization.

20312384716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20312384716800 in words is "twenty trillion, three hundred twelve billion, three hundred eighty-four million, seven hundred sixteen thousand, eight hundred".