200000248976000 has 384 divisors, whose sum is σ = 576241505611200. Its totient is φ = 68449265664000.

The previous prime is 200000248975999. The next prime is 200000248976029. The reversal of 200000248976000 is 679842000002.

200000248976000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×200000248976000³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48897971 + ... + 52830029.

Almost surely, 2^{200000248976000} is an apocalyptic number.

200000248976000 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 200000248976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288120752805600).

200000248976000 is an abundant number, since it is smaller than the sum of its proper divisors (376241256635200).

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

200000248976000 is a wasteful number, since it uses less digits than its factorization.

200000248976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932133 (or 3932094 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 200000248976000 in words is "two hundred trillion, two hundred forty-eight million, nine hundred seventy-six thousand".