200193979200 has 168 divisors, whose sum is σ = 657056323680. Its totient is φ = 53364480000.

The previous prime is 200193979189. The next prime is 200193979211. The reversal of 200193979200 is 2979391002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200193979189) and next prime (200193979211).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15598386 + ... + 15611214.

Almost surely, 2^200193979200 is an apocalyptic number.

200193979200 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 200193979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328528161840).

200193979200 is an abundant number, since it is smaller than the sum of its proper divisors (456862344480).

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

200193979200 is a wasteful number, since it uses less digits than its factorization.

200193979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16105 (or 16090 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The spelling of 200193979200 in words is "two hundred billion, one hundred ninety-three million, nine hundred seventy-nine thousand, two hundred".