20057320243200 has 720 divisors, whose sum is σ = 67432803086880. Its totient is φ = 5259657216000.

The previous prime is 20057320243193. The next prime is 20057320243291. The reversal of 20057320243200 is 234202375002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26356530820 + ... + 26356531580.

It is an arithmetic number, because the mean of its divisors is an integer number (93656670954).

Almost surely, 2^{20057320243200} is an apocalyptic number.

20057320243200 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 20057320243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33716401543440).

20057320243200 is an abundant number, since it is smaller than the sum of its proper divisors (47375482843680).

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

20057320243200 is an equidigital number, since it uses as much as digits as its factorization.

20057320243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The spelling of 20057320243200 in words is "twenty trillion, fifty-seven billion, three hundred twenty million, two hundred forty-three thousand, two hundred".