165016977672 has 128 divisors (see below), whose sum is σ = 449103974400. Its totient is φ = 50335084800.

The previous prime is 165016977649. The next prime is 165016977673. The reversal of 165016977672 is 276779610561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (165016977673) 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, 7721722 + ... + 7743062.

It is an arithmetic number, because the mean of its divisors is an integer number (3508624800).

Almost surely, 2^165016977672 is an apocalyptic number.

165016977672 is a gapful number since it is divisible by the number (12) 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 165016977672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224551987200).

165016977672 is an abundant number, since it is smaller than the sum of its proper divisors (284086996728).

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

165016977672 is a wasteful number, since it uses less digits than its factorization.

165016977672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21947 (or 21943 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 57.

The spelling of 165016977672 in words is "one hundred sixty-five billion, sixteen million, nine hundred seventy-seven thousand, six hundred seventy-two".