201287652720 has 1440 divisors, whose sum is σ = 866209184064. Its totient is φ = 38376898560.

The previous prime is 201287652661. The next prime is 201287652739. The reversal of 201287652720 is 27256782102.

It is a super-3 number, since 3×201287652720³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1282086882 + ... + 1282087038.

Almost surely, 2^201287652720 is an apocalyptic number.

201287652720 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 201287652720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433104592032).

201287652720 is an abundant number, since it is smaller than the sum of its proper divisors (664921531344).

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

201287652720 is a wasteful number, since it uses less digits than its factorization.

201287652720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 201287652720 in words is "two hundred one billion, two hundred eighty-seven million, six hundred fifty-two thousand, seven hundred twenty".