200973019104 has 480 divisors, whose sum is σ = 699857262720. Its totient is φ = 55773619200.

The previous prime is 200973019067. The next prime is 200973019129. The reversal of 200973019104 is 401910379002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48553867 + ... + 48558005.

It is an arithmetic number, because the mean of its divisors is an integer number (1458035964).

Almost surely, 2^200973019104 is an apocalyptic number.

200973019104 is a gapful number since it is divisible by the number (24) 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 200973019104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349928631360).

200973019104 is an abundant number, since it is smaller than the sum of its proper divisors (498884243616).

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

200973019104 is a wasteful number, since it uses less digits than its factorization.

200973019104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 200973019104 in words is "two hundred billion, nine hundred seventy-three million, nineteen thousand, one hundred four".