201385258560 has 448 divisors, whose sum is σ = 761564989440. Its totient is φ = 50540765184.

The previous prime is 201385258517. The next prime is 201385258583. The reversal of 201385258560 is 65852583102.

201385258560 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 8 + 5 + 2 + 585 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11888817 + ... + 11905743.

Almost surely, 2^201385258560 is an apocalyptic number.

201385258560 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 201385258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380782494720).

201385258560 is an abundant number, since it is smaller than the sum of its proper divisors (560179730880).

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

201385258560 is an equidigital number, since it uses as much as digits as its factorization.

201385258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16982 (or 16954 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 201385258560 in words is "two hundred one billion, three hundred eighty-five million, two hundred fifty-eight thousand, five hundred sixty".