36201260160 has 288 divisors, whose sum is σ = 135366765300. Its totient is φ = 8910839808.

The previous prime is 36201260093. The next prime is 36201260167. The reversal of 36201260160 is 6106210263.

36201260160 is a `hidden beast` number, since 3 + 620 + 1 + 26 + 0 + 16 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9715650624 + 26485609536 = 98568^2 + 162744^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (36201260167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 954846 + ... + 992034.

Almost surely, 2^36201260160 is an apocalyptic number.

36201260160 is a gapful number since it is divisible by the number (30) 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 36201260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67683382650).

36201260160 is an abundant number, since it is smaller than the sum of its proper divisors (99165505140).

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

36201260160 is a wasteful number, since it uses less digits than its factorization.

36201260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37240 (or 37212 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 36201260160 in words is "thirty-six billion, two hundred one million, two hundred sixty thousand, one hundred sixty".