20204431052400 has 2880 divisors, whose sum is σ = 88815515443200. Its totient is φ = 4404027801600.

The previous prime is 20204431052387. The next prime is 20204431052417. The reversal of 20204431052400 is 425013440202.

20204431052400 is a `hidden beast` number, since 2 + 0 + 204 + 4 + 3 + 1 + 0 + 52 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 116788618714 + ... + 116788618886.

It is an arithmetic number, because the mean of its divisors is an integer number (30838720640).

Almost surely, 2^{20204431052400} is an apocalyptic number.

20204431052400 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 20204431052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44407757721600).

20204431052400 is an abundant number, since it is smaller than the sum of its proper divisors (68611084390800).

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

20204431052400 is a wasteful number, since it uses less digits than its factorization.

20204431052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 20204431052400 its reverse (425013440202), we get a palindrome (20629444492602).

The spelling of 20204431052400 in words is "twenty trillion, two hundred four billion, four hundred thirty-one million, fifty-two thousand, four hundred".