200728355143680 has 3456 divisors, whose sum is σ = 936185214182400. Its totient is φ = 40122452017152.

The previous prime is 200728355143553. The next prime is 200728355143703. The reversal of 200728355143680 is 86341553827002.

200728355143680 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 2 + 8 + 3 + 551 + 4 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×200728355143680² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 10564650270711 + ... + 10564650270729.

It is an arithmetic number, because the mean of its divisors is an integer number (270886925400).

Almost surely, 2^{200728355143680} is an apocalyptic number.

200728355143680 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 200728355143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468092607091200).

200728355143680 is an abundant number, since it is smaller than the sum of its proper divisors (735456859038720).

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

200728355143680 is an frugal number, since it uses more digits than its factorization.

200728355143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 200728355143680 in words is "two hundred trillion, seven hundred twenty-eight billion, three hundred fifty-five million, one hundred forty-three thousand, six hundred eighty".