200393112960 has 384 divisors, whose sum is σ = 722775549600. Its totient is φ = 51109429248.

The previous prime is 200393112911. The next prime is 200393112967. The reversal of 200393112960 is 69211393002.

It is a happy number.

200393112960 is a `hidden beast` number, since 20 + 0 + 39 + 311 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200393112967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12566112 + ... + 12582048.

Almost surely, 2^200393112960 is an apocalyptic number.

200393112960 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 200393112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361387774800).

200393112960 is an abundant number, since it is smaller than the sum of its proper divisors (522382436640).

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

200393112960 is a wasteful number, since it uses less digits than its factorization.

200393112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16058 (or 16043 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 200393112960 in words is "two hundred billion, three hundred ninety-three million, one hundred twelve thousand, nine hundred sixty".