165059776000 has 640 divisors, whose sum is σ = 499324041216. Its totient is φ = 53202124800.

The previous prime is 165059775997. The next prime is 165059776001. The reversal of 165059776000 is 677950561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165059776001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 855231904 + ... + 855232096.

Almost surely, 2^165059776000 is an apocalyptic number.

165059776000 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 165059776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249662020608).

165059776000 is an abundant number, since it is smaller than the sum of its proper divisors (334264265216).

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

165059776000 is an equidigital number, since it uses as much as digits as its factorization.

165059776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 46.

The spelling of 165059776000 in words is "one hundred sixty-five billion, fifty-nine million, seven hundred seventy-six thousand".