200945970195000 has 320 divisors, whose sum is σ = 639476571993600. Its totient is φ = 52590954240000.

The previous prime is 200945970194999. The next prime is 200945970195059. The reversal of 200945970195000 is 591079549002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 271986096 + ... + 272723904.

It is an arithmetic number, because the mean of its divisors is an integer number (1998364287480).

Almost surely, 2^{200945970195000} is an apocalyptic number.

200945970195000 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 200945970195000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319738285996800).

200945970195000 is an abundant number, since it is smaller than the sum of its proper divisors (438530601798600).

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

200945970195000 is a wasteful number, since it uses less digits than its factorization.

200945970195000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738176 (or 738157 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 51.

The spelling of 200945970195000 in words is "two hundred trillion, nine hundred forty-five billion, nine hundred seventy million, one hundred ninety-five thousand".