201286625280 has 576 divisors, whose sum is σ = 704877526080. Its totient is φ = 49012015104.

The previous prime is 201286625251. The next prime is 201286625299. The reversal of 201286625280 is 82526682102.

It is a super-2 number, since 2×201286625280² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711260019 + ... + 711260301.

It is an arithmetic number, because the mean of its divisors is an integer number (1223745705).

Almost surely, 2^201286625280 is an apocalyptic number.

201286625280 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 201286625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352438763040).

201286625280 is an abundant number, since it is smaller than the sum of its proper divisors (503590900800).

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

201286625280 is a wasteful number, since it uses less digits than its factorization.

201286625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 201286625280 in words is "two hundred one billion, two hundred eighty-six million, six hundred twenty-five thousand, two hundred eighty".