20472014822400 has 1056 divisors, whose sum is σ = 78580579896000. Its totient is φ = 5216120340480.

The previous prime is 20472014822393. The next prime is 20472014822407. The reversal of 20472014822400 is 422841027402.

20472014822400 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 201 + 48 + 2 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (20472014822393) and next prime (20472014822407).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20472014822407) 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 95 ways as a sum of consecutive naturals, for example, 1944340336 + ... + 1944350864.

Almost surely, 2^{20472014822400} is an apocalyptic number.

20472014822400 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 20472014822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39290289948000).

20472014822400 is an abundant number, since it is smaller than the sum of its proper divisors (58108565073600).

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

20472014822400 is a wasteful number, since it uses less digits than its factorization.

20472014822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10694 (or 10665 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

Adding to 20472014822400 its reverse (422841027402), we get a palindrome (20894855849802).

The spelling of 20472014822400 in words is "twenty trillion, four hundred seventy-two billion, fourteen million, eight hundred twenty-two thousand, four hundred".