200093442436800 has 840 divisors, whose sum is σ = 802555723704240. Its totient is φ = 48495438028800.

The previous prime is 200093442436757. The next prime is 200093442436831. The reversal of 200093442436800 is 8634244390002.

200093442436800 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 9 + 344 + 243 + 68 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6610492066 + ... + 6610522334.

Almost surely, 2^{200093442436800} is an apocalyptic number.

200093442436800 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 200093442436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401277861852120).

200093442436800 is an abundant number, since it is smaller than the sum of its proper divisors (602462281267440).

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

200093442436800 is a wasteful number, since it uses less digits than its factorization.

200093442436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34951 (or 34927 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 200093442436800 in words is "two hundred trillion, ninety-three billion, four hundred forty-two million, four hundred thirty-six thousand, eight hundred".