200309594172912 has 720 divisors, whose sum is σ = 692340118229760. Its totient is φ = 55872298589184.

The previous prime is 200309594172911. The next prime is 200309594172929. The reversal of 200309594172912 is 219271495903002.

It is a happy number.

200309594172912 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 0 + 9 + 594 + 17 + 29 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200309594172911) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20504611164 + ... + 20504620932.

Almost surely, 2^{200309594172912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200309594172912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346170059114880).

200309594172912 is an abundant number, since it is smaller than the sum of its proper divisors (492030524056848).

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

200309594172912 is a wasteful number, since it uses less digits than its factorization.

200309594172912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12352 (or 12327 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 200309594172912 in words is "two hundred trillion, three hundred nine billion, five hundred ninety-four million, one hundred seventy-two thousand, nine hundred twelve".