201952064160 has 960 divisors, whose sum is σ = 894942639360. Its totient is φ = 41664430080.

The previous prime is 201952064143. The next prime is 201952064191. The reversal of 201952064160 is 61460259102.

201952064160 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 5 + 2 + 0 + 641 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 156672796 + ... + 156674084.

It is an arithmetic number, because the mean of its divisors is an integer number (932231916).

Almost surely, 2^201952064160 is an apocalyptic number.

201952064160 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 201952064160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447471319680).

201952064160 is an abundant number, since it is smaller than the sum of its proper divisors (692990575200).

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

201952064160 is a wasteful number, since it uses less digits than its factorization.

201952064160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1474 counting only the distinct ones).

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

The spelling of 201952064160 in words is "two hundred one billion, nine hundred fifty-two million, sixty-four thousand, one hundred sixty".