200249280000 has 2400 divisors, whose sum is σ = 961823617920. Its totient is φ = 40642560000.

The previous prime is 200249279917. The next prime is 200249280017. The reversal of 200249280000 is 82942002.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 4656959979 + ... + 4656960021.

Almost surely, 2^200249280000 is an apocalyptic number.

200249280000 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 200249280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480911808960).

200249280000 is an abundant number, since it is smaller than the sum of its proper divisors (761574337920).

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

200249280000 is an equidigital number, since it uses as much as digits as its factorization.

200249280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

It can be divided in two parts, 200249 and 280000, that added together give a square (480249 = 693²).

The spelling of 200249280000 in words is "two hundred billion, two hundred forty-nine million, two hundred eighty thousand".