20004254359200 has 864 divisors, whose sum is σ = 73686856239360. Its totient is φ = 5295675801600.

The previous prime is 20004254359171. The next prime is 20004254359211. The reversal of 20004254359200 is 295345240002.

20004254359200 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 4 + 25 + 43 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 21533104336 + ... + 21533105264.

It is an arithmetic number, because the mean of its divisors is an integer number (85285713240).

Almost surely, 2^{20004254359200} is an apocalyptic number.

20004254359200 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 20004254359200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36843428119680).

20004254359200 is an abundant number, since it is smaller than the sum of its proper divisors (53682601880160).

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

20004254359200 is a wasteful number, since it uses less digits than its factorization.

20004254359200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 20004254359200 its reverse (295345240002), we get a palindrome (20299599599202).

The spelling of 20004254359200 in words is "twenty trillion, four billion, two hundred fifty-four million, three hundred fifty-nine thousand, two hundred".