200979717120 has 1584 divisors, whose sum is σ = 899029430208. Its totient is φ = 41122529280.

The previous prime is 200979717109. The next prime is 200979717143. The reversal of 200979717120 is 21717979002.

It is a happy number.

200979717120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1203471277 + ... + 1203471443.

Almost surely, 2^200979717120 is an apocalyptic number.

200979717120 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 200979717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449514715104).

200979717120 is an abundant number, since it is smaller than the sum of its proper divisors (698049713088).

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

200979717120 is a wasteful number, since it uses less digits than its factorization.

200979717120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 200979717120 in words is "two hundred billion, nine hundred seventy-nine million, seven hundred seventeen thousand, one hundred twenty".