162001106507052 has 144 divisors (see below), whose sum is σ = 444183173152992. Its totient is φ = 49582418780160.

The previous prime is 162001106507017. The next prime is 162001106507077. The reversal of 162001106507052 is 250705601100261.

162001106507052 is a `hidden beast` number, since 16 + 20 + 0 + 110 + 6 + 507 + 0 + 5 + 2 = 666.

It is a super-2 number, since 2×162001106507052² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 162001106506998 and 162001106507016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 770143963 + ... + 770354285.

It is an arithmetic number, because the mean of its divisors is an integer number (3084605369118).

Almost surely, 2^{162001106507052} is an apocalyptic number.

162001106507052 is a gapful number since it is divisible by the number (12) 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 162001106507052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222091586576496).

162001106507052 is an abundant number, since it is smaller than the sum of its proper divisors (282182066645940).

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

162001106507052 is a wasteful number, since it uses less digits than its factorization.

162001106507052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241088 (or 241083 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 162001106507052 in words is "one hundred sixty-two trillion, one billion, one hundred six million, five hundred seven thousand, fifty-two".