200574072960 has 512 divisors, whose sum is σ = 704112756480. Its totient is φ = 48357703680.

The previous prime is 200574072931. The next prime is 200574072989. The reversal of 200574072960 is 69270475002.

It is an interprime number because it is at equal distance from previous prime (200574072931) and next prime (200574072989).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89660962 + ... + 89663198.

Almost surely, 2^200574072960 is an apocalyptic number.

200574072960 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 200574072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352056378240).

200574072960 is an abundant number, since it is smaller than the sum of its proper divisors (503538683520).

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

200574072960 is a wasteful number, since it uses less digits than its factorization.

200574072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 200574072960 in words is "two hundred billion, five hundred seventy-four million, seventy-two thousand, nine hundred sixty".