200825469504000 has 4800 divisors, whose sum is σ = 895908219766560. Its totient is φ = 44495142912000.

The previous prime is 200825469503819. The next prime is 200825469504043. The reversal of 200825469504000 is 405964528002.

200825469504000 is a `hidden beast` number, since 2 + 0 + 0 + 82 + 5 + 4 + 69 + 504 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 21290767812864 + 179534701691136 = 4614192^2 + 13399056^2 .

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 394549055746 + ... + 394549056254.

Almost surely, 2^{200825469504000} is an apocalyptic number.

200825469504000 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 200825469504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447954109883280).

200825469504000 is an abundant number, since it is smaller than the sum of its proper divisors (695082750262560).

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

200825469504000 is a wasteful number, since it uses less digits than its factorization.

200825469504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 200825469504000 in words is "two hundred trillion, eight hundred twenty-five billion, four hundred sixty-nine million, five hundred four thousand".