203897338128000 has 4608 divisors, whose sum is σ = 884108931713280. Its totient is φ = 46668441600000.

The previous prime is 203897338127981. The next prime is 203897338128061. The reversal of 203897338128000 is 821833798302.

203897338128000 is a `hidden beast` number, since 20 + 3 + 8 + 9 + 7 + 338 + 1 + 280 + 0 + 0 = 666.

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

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, 4973105807980 + ... + 4973105808020.

Almost surely, 2^{203897338128000} is an apocalyptic number.

203897338128000 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 203897338128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442054465856640).

203897338128000 is an abundant number, since it is smaller than the sum of its proper divisors (680211593585280).

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

203897338128000 is an frugal number, since it uses more digits than its factorization.

203897338128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 203897338128000 in words is "two hundred three trillion, eight hundred ninety-seven billion, three hundred thirty-eight million, one hundred twenty-eight thousand".