201006523759104 has 1280 divisors, whose sum is σ = 714464991313920. Its totient is φ = 54591086592000.

The previous prime is 201006523759001. The next prime is 201006523759121. The reversal of 201006523759104 is 401957325600102.

201006523759104 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 6 + 52 + 3 + 7 + 591 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 201006523759104.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62405004214 + ... + 62405007434.

It is an arithmetic number, because the mean of its divisors is an integer number (558175774464).

Almost surely, 2^{201006523759104} is an apocalyptic number.

201006523759104 is a gapful number since it is divisible by the number (24) 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 201006523759104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357232495656960).

201006523759104 is an abundant number, since it is smaller than the sum of its proper divisors (513458467554816).

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

201006523759104 is a wasteful number, since it uses less digits than its factorization.

201006523759104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 201006523759104 in words is "two hundred one trillion, six billion, five hundred twenty-three million, seven hundred fifty-nine thousand, one hundred four".