200981279520 has 576 divisors, whose sum is σ = 831678382080. Its totient is φ = 43172849664.

The previous prime is 200981279509. The next prime is 200981279533. The reversal of 200981279520 is 25972189002.

It is a happy number.

200981279520 is a `hidden beast` number, since 20 + 0 + 9 + 81 + 27 + 9 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24318909 + ... + 24327171.

It is an arithmetic number, because the mean of its divisors is an integer number (1443886080).

Almost surely, 2^200981279520 is an apocalyptic number.

200981279520 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 200981279520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415839191040).

200981279520 is an abundant number, since it is smaller than the sum of its proper divisors (630697102560).

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

200981279520 is a wasteful number, since it uses less digits than its factorization.

200981279520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8437 (or 8426 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 200981279520 in words is "two hundred billion, nine hundred eighty-one million, two hundred seventy-nine thousand, five hundred twenty".