201800894389920 has 288 divisors, whose sum is σ = 787215653078400. Its totient is φ = 46114656307200.

The previous prime is 201800894389891. The next prime is 201800894389961. The reversal of 201800894389920 is 29983498008102.

It is a happy number.

201800894389920 is a `hidden beast` number, since 2 + 0 + 1 + 80 + 0 + 8 + 94 + 389 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 38875870 + ... + 43759970.

It is an arithmetic number, because the mean of its divisors is an integer number (2733387684300).

Almost surely, 2^{201800894389920} is an apocalyptic number.

201800894389920 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 201800894389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393607826539200).

201800894389920 is an abundant number, since it is smaller than the sum of its proper divisors (585414758688480).

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

201800894389920 is a wasteful number, since it uses less digits than its factorization.

201800894389920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888228 (or 4888217 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 201800894389920 in words is "two hundred one trillion, eight hundred billion, eight hundred ninety-four million, three hundred eighty-nine thousand, nine hundred twenty".