200254254024000 has 448 divisors, whose sum is σ = 724159296237312. Its totient is φ = 48357572608000.

The previous prime is 200254254023977. The next prime is 200254254024049. The reversal of 200254254024000 is 420452452002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 66372244 + ... + 69323756.

Almost surely, 2^{200254254024000} is an apocalyptic number.

200254254024000 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 200254254024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362079648118656).

200254254024000 is an abundant number, since it is smaller than the sum of its proper divisors (523905042213312).

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

200254254024000 is a wasteful number, since it uses less digits than its factorization.

200254254024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951811 (or 2951791 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The spelling of 200254254024000 in words is "two hundred trillion, two hundred fifty-four billion, two hundred fifty-four million, twenty-four thousand".