162538155260208 has 960 divisors, whose sum is σ = 593662919808000. Its totient is φ = 42193449897984.

The previous prime is 162538155260197. The next prime is 162538155260213. The reversal of 162538155260208 is 802062551835261.

162538155260208 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 3 + 8 + 1 + 552 + 60 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29665658013 + ... + 29665663491.

It is an arithmetic number, because the mean of its divisors is an integer number (618398874800).

Almost surely, 2^{162538155260208} is an apocalyptic number.

162538155260208 is a gapful number since it is divisible by the number (18) 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 162538155260208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296831459904000).

162538155260208 is an abundant number, since it is smaller than the sum of its proper divisors (431124764547792).

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

162538155260208 is a wasteful number, since it uses less digits than its factorization.

162538155260208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7199 (or 7180 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 162538155260208 in words is "one hundred sixty-two trillion, five hundred thirty-eight billion, one hundred fifty-five million, two hundred sixty thousand, two hundred eight".