162987837120 has 560 divisors, whose sum is σ = 589878891360. Its totient is φ = 42890674176.

The previous prime is 162987837113. The next prime is 162987837143. The reversal of 162987837120 is 21738789261.

It is a happy number.

162987837120 is a `hidden beast` number, since 1 + 629 + 8 + 7 + 8 + 3 + 7 + 1 + 2 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 711737166 + ... + 711737394.

Almost surely, 2^162987837120 is an apocalyptic number.

162987837120 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 162987837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294939445680).

162987837120 is an abundant number, since it is smaller than the sum of its proper divisors (426891054240).

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

162987837120 is an frugal number, since it uses more digits than its factorization.

162987837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 162987837120 in words is "one hundred sixty-two billion, nine hundred eighty-seven million, eight hundred thirty-seven thousand, one hundred twenty".