162107688960 has 384 divisors, whose sum is σ = 658570348800. Its totient is φ = 37052743680.

The previous prime is 162107688949. The next prime is 162107688979. The reversal of 162107688960 is 69886701261.

162107688960 is a `hidden beast` number, since 1 + 621 + 0 + 7 + 6 + 8 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 162107688897 and 162107688906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1893480 + ... + 1977240.

It is an arithmetic number, because the mean of its divisors is an integer number (1715026950).

Almost surely, 2^162107688960 is an apocalyptic number.

162107688960 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 162107688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329285174400).

162107688960 is an abundant number, since it is smaller than the sum of its proper divisors (496462659840).

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

162107688960 is an equidigital number, since it uses as much as digits as its factorization.

162107688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83804 (or 83778 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 162107688960 in words is "one hundred sixty-two billion, one hundred seven million, six hundred eighty-eight thousand, nine hundred sixty".