20447763379200 has 1584 divisors, whose sum is σ = 79688191879296. Its totient is φ = 5185260748800.

The previous prime is 20447763379189. The next prime is 20447763379213. The reversal of 20447763379200 is 297336774402.

20447763379200 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 7 + 7 + 63 + 379 + 200 = 666.

It is a super-2 number, since 2×20447763379200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 34481894104 + ... + 34481894696.

It is an arithmetic number, because the mean of its divisors is an integer number (50308201944).

Almost surely, 2^{20447763379200} is an apocalyptic number.

20447763379200 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 20447763379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39844095939648).

20447763379200 is an abundant number, since it is smaller than the sum of its proper divisors (59240428500096).

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

20447763379200 is a wasteful number, since it uses less digits than its factorization.

20447763379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 20447763379200 in words is "twenty trillion, four hundred forty-seven billion, seven hundred sixty-three million, three hundred seventy-nine thousand, two hundred".