200763855072 has 1152 divisors, whose sum is σ = 732297646080. Its totient is φ = 53374464000.

The previous prime is 200763855067. The next prime is 200763855073. The reversal of 200763855072 is 270558367002.

200763855072 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 63 + 85 + 507 + 2 = 666.

It is a super-2 number, since 2×200763855072² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200763855073) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1532548447 + ... + 1532548577.

It is an arithmetic number, because the mean of its divisors is an integer number (635675040).

Almost surely, 2^200763855072 is an apocalyptic number.

200763855072 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 200763855072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366148823040).

200763855072 is an abundant number, since it is smaller than the sum of its proper divisors (531533791008).

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

200763855072 is a wasteful number, since it uses less digits than its factorization.

200763855072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 200763855072 in words is "two hundred billion, seven hundred sixty-three million, eight hundred fifty-five thousand, seventy-two".