201566938890240 has 5376 divisors, whose sum is σ = 959513231393280. Its totient is φ = 40131624960000.

The previous prime is 201566938890221. The next prime is 201566938890263. The reversal of 201566938890240 is 42098839665102.

201566938890240 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 6 + 6 + 9 + 388 + 9 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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 335 ways as a sum of consecutive naturals, for example, 1995712266190 + ... + 1995712266290.

Almost surely, 2^{201566938890240} is an apocalyptic number.

201566938890240 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 201566938890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479756615696640).

201566938890240 is an abundant number, since it is smaller than the sum of its proper divisors (757946292503040).

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

201566938890240 is an equidigital number, since it uses as much as digits as its factorization.

201566938890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 201566938890240 in words is "two hundred one trillion, five hundred sixty-six billion, nine hundred thirty-eight million, eight hundred ninety thousand, two hundred forty".