165025680048 has 160 divisors (see below), whose sum is σ = 502009387200. Its totient is φ = 51725205504.

The previous prime is 165025679983. The next prime is 165025680049. The reversal of 165025680048 is 840086520561.

165025680048 is a `hidden beast` number, since 16 + 502 + 56 + 80 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 165025679985 and 165025680012.

It is not an unprimeable number, because it can be changed into a prime (165025680049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8457888 + ... + 8477376.

It is an arithmetic number, because the mean of its divisors is an integer number (3137558670).

Almost surely, 2^165025680048 is an apocalyptic number.

165025680048 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 165025680048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251004693600).

165025680048 is an abundant number, since it is smaller than the sum of its proper divisors (336983707152).

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

165025680048 is a wasteful number, since it uses less digits than its factorization.

165025680048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20676 (or 20664 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 165025680048 in words is "one hundred sixty-five billion, twenty-five million, six hundred eighty thousand, forty-eight".