201006911520 has 216 divisors, whose sum is σ = 708781708908. Its totient is φ = 51872394240.

The previous prime is 201006911503. The next prime is 201006911543. The reversal of 201006911520 is 25119600102.

201006911520 is a `hidden beast` number, since 20 + 100 + 6 + 9 + 11 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 195636366864 + 5370544656 = 442308^2 + 73284^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1311214 + ... + 1456466.

Almost surely, 2^201006911520 is an apocalyptic number.

201006911520 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 201006911520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354390854454).

201006911520 is an abundant number, since it is smaller than the sum of its proper divisors (507774797388).

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

201006911520 is a wasteful number, since it uses less digits than its factorization.

201006911520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145336 (or 145294 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 201006911520 in words is "two hundred one billion, six million, nine hundred eleven thousand, five hundred twenty".