165950056272000 has 8192 divisors, whose sum is σ = 848414601216000. Its totient is φ = 27614380032000.

The previous prime is 165950056271903. The next prime is 165950056272067. The reversal of 165950056272000 is 272650059561.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 1023 ways as a sum of consecutive naturals, for example, 4485136655982 + ... + 4485136656018.

It is an arithmetic number, because the mean of its divisors is an integer number (103566235500).

Almost surely, 2^{165950056272000} is an apocalyptic number.

165950056272000 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 165950056272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424207300608000).

165950056272000 is an abundant number, since it is smaller than the sum of its proper divisors (682464544944000).

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

165950056272000 is a wasteful number, since it uses less digits than its factorization.

165950056272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 165950056272000 in words is "one hundred sixty-five trillion, nine hundred fifty billion, fifty-six million, two hundred seventy-two thousand".