203728960512 has 1320 divisors, whose sum is σ = 801426243072. Its totient is φ = 51209625600.

The previous prime is 203728960471. The next prime is 203728960541. The reversal of 203728960512 is 215069827302.

203728960512 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 28 + 9 + 605 + 12 = 666.

203728960512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6571901937 + ... + 6571901967.

Almost surely, 2^203728960512 is an apocalyptic number.

203728960512 is a gapful number since it is divisible by the number (22) 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 203728960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400713121536).

203728960512 is an abundant number, since it is smaller than the sum of its proper divisors (597697282560).

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

203728960512 is an frugal number, since it uses more digits than its factorization.

203728960512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 203728960512 in words is "two hundred three billion, seven hundred twenty-eight million, nine hundred sixty thousand, five hundred twelve".