162000020000 has 720 divisors, whose sum is σ = 508266202752. Its totient is φ = 49720320000.

The previous prime is 162000019981. The next prime is 162000020011. The reversal of 162000020000 is 20000261.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 970059917 + ... + 970060083.

Almost surely, 2^162000020000 is an apocalyptic number.

162000020000 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 162000020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254133101376).

162000020000 is an abundant number, since it is smaller than the sum of its proper divisors (346266182752).

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

162000020000 is a wasteful number, since it uses less digits than its factorization.

162000020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 162000020000 its reverse (20000261), we get a palindrome (162020020261).

It can be divided in two parts, 1620000 and 20000, that multiplied together give a square (32400000000 = 180000²).

The spelling of 162000020000 in words is "one hundred sixty-two billion, twenty thousand".