165672098280 has 384 divisors, whose sum is σ = 627688051200. Its totient is φ = 38633283072.

The previous prime is 165672098191. The next prime is 165672098303. The reversal of 165672098280 is 82890276561.

165672098280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5052097 + ... + 5084783.

It is an arithmetic number, because the mean of its divisors is an integer number (1634604300).

Almost surely, 2^165672098280 is an apocalyptic number.

165672098280 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 165672098280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313844025600).

165672098280 is an abundant number, since it is smaller than the sum of its proper divisors (462015952920).

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

165672098280 is a wasteful number, since it uses less digits than its factorization.

165672098280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32758 (or 32729 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 165672098280 in words is "one hundred sixty-five billion, six hundred seventy-two million, ninety-eight thousand, two hundred eighty".