201651024960 has 2688 divisors, whose sum is σ = 990712166400. Its totient is φ = 38041436160.

The previous prime is 201651024877. The next prime is 201651024989. The reversal of 201651024960 is 69420156102.

201651024960 is a `hidden beast` number, since 2 + 0 + 1 + 65 + 102 + 496 + 0 = 666.

201651024960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3804736294 + ... + 3804736346.

Almost surely, 2^201651024960 is an apocalyptic number.

201651024960 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 201651024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495356083200).

201651024960 is an abundant number, since it is smaller than the sum of its proper divisors (789061141440).

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

201651024960 is a wasteful number, since it uses less digits than its factorization.

201651024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 201651024960 in words is "two hundred one billion, six hundred fifty-one million, twenty-four thousand, nine hundred sixty".