165019906800000 has 3840 divisors, whose sum is σ = 740472606720000. Its totient is φ = 36425894400000.

The previous prime is 165019906799971. The next prime is 165019906800041. The reversal of 165019906800000 is 8609910561.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 344509199761 + ... + 344509200239.

It is an arithmetic number, because the mean of its divisors is an integer number (192831408000).

Almost surely, 2^{165019906800000} is an apocalyptic number.

165019906800000 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 165019906800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370236303360000).

165019906800000 is an abundant number, since it is smaller than the sum of its proper divisors (575452699920000).

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

165019906800000 is an frugal number, since it uses more digits than its factorization.

165019906800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 165019906800000 in words is "one hundred sixty-five trillion, nineteen billion, nine hundred six million, eight hundred thousand".