201864960000 has 1440 divisors, whose sum is σ = 838182945600. Its totient is φ = 48107520000.

The previous prime is 201864959999. The next prime is 201864960013. The reversal of 201864960000 is 69468102.

201864960000 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 6 + 49 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 3421439971 + ... + 3421440029.

It is an arithmetic number, because the mean of its divisors is an integer number (582071490).

Almost surely, 2^201864960000 is an apocalyptic number.

201864960000 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 201864960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419091472800).

201864960000 is an abundant number, since it is smaller than the sum of its proper divisors (636317985600).

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

201864960000 is an frugal number, since it uses more digits than its factorization.

201864960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 201864960000 in words is "two hundred one billion, eight hundred sixty-four million, nine hundred sixty thousand".