200159920800 has 576 divisors, whose sum is σ = 832386723840. Its totient is φ = 45471144960.

The previous prime is 200159920769. The next prime is 200159920801. The reversal of 200159920800 is 8029951002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (200159920801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25246437 + ... + 25254363.

It is an arithmetic number, because the mean of its divisors is an integer number (1445115840).

Almost surely, 2^200159920800 is an apocalyptic number.

200159920800 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 200159920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416193361920).

200159920800 is an abundant number, since it is smaller than the sum of its proper divisors (632226803040).

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

200159920800 is a wasteful number, since it uses less digits than its factorization.

200159920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8130 (or 8111 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 200159920800 in words is "two hundred billion, one hundred fifty-nine million, nine hundred twenty thousand, eight hundred".