162608025600 has 468 divisors, whose sum is σ = 590649700836. Its totient is φ = 42750443520.

The previous prime is 162608025589. The next prime is 162608025623. The reversal of 162608025600 is 6520806261.

162608025600 is a `hidden beast` number, since 1 + 6 + 26 + 0 + 8 + 0 + 25 + 600 = 666.

162608025600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6627262464 + 155980763136 = 81408^2 + 394944^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67275592 + ... + 67278008.

Almost surely, 2^162608025600 is an apocalyptic number.

162608025600 is a gapful number since it is divisible by the number (10) 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 162608025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295324850418).

162608025600 is an abundant number, since it is smaller than the sum of its proper divisors (428041675236).

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

162608025600 is a wasteful number, since it uses less digits than its factorization.

162608025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 162608025600 in words is "one hundred sixty-two billion, six hundred eight million, twenty-five thousand, six hundred".