201638700000 has 1152 divisors, whose sum is σ = 816427745280. Its totient is φ = 48153600000.

The previous prime is 201638699909. The next prime is 201638700007. The reversal of 201638700000 is 7836102.

201638700000 is a `hidden beast` number, since 20 + 1 + 638 + 7 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201638700007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1055699905 + ... + 1055700095.

It is an arithmetic number, because the mean of its divisors is an integer number (708704640).

Almost surely, 2^201638700000 is an apocalyptic number.

201638700000 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 201638700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408213872640).

201638700000 is an abundant number, since it is smaller than the sum of its proper divisors (614789045280).

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

201638700000 is a wasteful number, since it uses less digits than its factorization.

201638700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 201638700000 in words is "two hundred one billion, six hundred thirty-eight million, seven hundred thousand".