201620601071136 has 72 divisors (see below), whose sum is σ = 617463090791820. Its totient is φ = 62037108020736.

The previous prime is 201620601071111. The next prime is 201620601071161. The reversal of 201620601071136 is 631170106026102.

201620601071136 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 2 + 0 + 601 + 0 + 7 + 11 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (201620601071111) and next prime (201620601071161).

It can be written as a sum of positive squares in 2 ways, for example, as 200779264515600 + 841336555536 = 14169660^2 + 917244^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 201620601071136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26925824391 + ... + 26925831878.

Almost surely, 2^{201620601071136} is an apocalyptic number.

201620601071136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

201620601071136 is an abundant number, since it is smaller than the sum of its proper divisors (415842489720684).

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

201620601071136 is a wasteful number, since it uses less digits than its factorization.

201620601071136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53851656298 (or 53851656287 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 201620601071136 its reverse (631170106026102), we get a palindrome (832790707097238).

The spelling of 201620601071136 in words is "two hundred one trillion, six hundred twenty billion, six hundred one million, seventy-one thousand, one hundred thirty-six".