20912338944000 has 3840 divisors, whose sum is σ = 96573418905600. Its totient is φ = 4414478745600.

The previous prime is 20912338943987. The next prime is 20912338944011. The reversal of 20912338944000 is 44983321902.

20912338944000 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 233 + 8 + 9 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 721115135986 + ... + 721115136014.

It is an arithmetic number, because the mean of its divisors is an integer number (25149327840).

Almost surely, 2^{20912338944000} is an apocalyptic number.

20912338944000 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 20912338944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48286709452800).

20912338944000 is an abundant number, since it is smaller than the sum of its proper divisors (75661079961600).

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

20912338944000 is an frugal number, since it uses more digits than its factorization.

20912338944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 20912338944000 in words is "twenty trillion, nine hundred twelve billion, three hundred thirty-eight million, nine hundred forty-four thousand".