203928109056000 has 2400 divisors, whose sum is σ = 887039475662340. Its totient is φ = 46612139212800.

The previous prime is 203928109055959. The next prime is 203928109056017. The reversal of 203928109056000 is 650901829302.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

203928109056000 is a `hidden beast` number, since 2 + 0 + 3 + 9 + 2 + 81 + 0 + 9 + 0 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 137855401721856 + 66072707334144 = 11741184^2 + 8128512^2 .

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×203928109056000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 29132587007997 + ... + 29132587008003.

Almost surely, 2^{203928109056000} is an apocalyptic number.

203928109056000 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 203928109056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443519737831170).

203928109056000 is an abundant number, since it is smaller than the sum of its proper divisors (683111366606340).

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

203928109056000 is an frugal number, since it uses more digits than its factorization.

203928109056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 203928109056000 in words is "two hundred three trillion, nine hundred twenty-eight billion, one hundred nine million, fifty-six thousand".