200227597251264 has 448 divisors, whose sum is σ = 664545203596800. Its totient is φ = 58560013209600.

The previous prime is 200227597251263. The next prime is 200227597251281. The reversal of 200227597251264 is 462152795722002.

It is a happy number.

200227597251264 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 2 + 7 + 59 + 72 + 512 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 200227597251264.

It is not an unprimeable number, because it can be changed into a prime (200227597251263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1444709779 + ... + 1444848365.

Almost surely, 2^{200227597251264} is an apocalyptic number.

200227597251264 is a gapful number since it is divisible by the number (24) 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 200227597251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332272601798400).

200227597251264 is an abundant number, since it is smaller than the sum of its proper divisors (464317606345536).

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

200227597251264 is a wasteful number, since it uses less digits than its factorization.

200227597251264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141269 (or 141253 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 200227597251264 in words is "two hundred trillion, two hundred twenty-seven billion, five hundred ninety-seven million, two hundred fifty-one thousand, two hundred sixty-four".