200125650067200 has 3456 divisors, whose sum is σ = 901482568089600. Its totient is φ = 42777206784000.

The previous prime is 200125650067139. The next prime is 200125650067249. The reversal of 200125650067200 is 2760056521002.

200125650067200 is a `hidden beast` number, since 2 + 0 + 0 + 12 + 565 + 0 + 0 + 67 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 60515767947 + ... + 60515771253.

Almost surely, 2^{200125650067200} is an apocalyptic number.

200125650067200 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 200125650067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450741284044800).

200125650067200 is an abundant number, since it is smaller than the sum of its proper divisors (701356918022400).

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

200125650067200 is a wasteful number, since it uses less digits than its factorization.

200125650067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 200125650067200 in words is "two hundred trillion, one hundred twenty-five billion, six hundred fifty million, sixty-seven thousand, two hundred".