201838981680 has 400 divisors, whose sum is σ = 810829603584. Its totient is φ = 45577935360.

The previous prime is 201838981679. The next prime is 201838981699. The reversal of 201838981680 is 86189838102.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3738075 + ... + 3791685.

Almost surely, 2^201838981680 is an apocalyptic number.

201838981680 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 201838981680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405414801792).

201838981680 is an abundant number, since it is smaller than the sum of its proper divisors (608990621904).

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

201838981680 is a wasteful number, since it uses less digits than its factorization.

201838981680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53726 (or 53711 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 201838981680 in words is "two hundred one billion, eight hundred thirty-eight million, nine hundred eighty-one thousand, six hundred eighty".