165150025600 has 192 divisors, whose sum is σ = 467077739040. Its totient is φ = 56522833920.

The previous prime is 165150025559. The next prime is 165150025627. The reversal of 165150025600 is 6520051561.

165150025600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13276984 + ... + 13289416.

Almost surely, 2^165150025600 is an apocalyptic number.

165150025600 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 165150025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233538869520).

165150025600 is an abundant number, since it is smaller than the sum of its proper divisors (301927713440).

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

165150025600 is a wasteful number, since it uses less digits than its factorization.

165150025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13057 (or 13040 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 165150025600 in words is "one hundred sixty-five billion, one hundred fifty million, twenty-five thousand, six hundred".