165400655616 has 432 divisors, whose sum is σ = 598944326400. Its totient is φ = 44768360448.

The previous prime is 165400655599. The next prime is 165400655621. The reversal of 165400655616 is 616556004561.

165400655616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6422221 + ... + 6447923.

It is an arithmetic number, because the mean of its divisors is an integer number (1386445200).

Almost surely, 2^165400655616 is an apocalyptic number.

165400655616 is a gapful number since it is divisible by the number (16) 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 165400655616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299472163200).

165400655616 is an abundant number, since it is smaller than the sum of its proper divisors (433543670784).

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

165400655616 is a wasteful number, since it uses less digits than its factorization.

165400655616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25761 (or 25734 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 165400655616 in words is "one hundred sixty-five billion, four hundred million, six hundred fifty-five thousand, six hundred sixteen".