164839771872000 has 720 divisors, whose sum is σ = 617184816280032. Its totient is φ = 43687484006400.

The previous prime is 164839771871869. The next prime is 164839771872053. The reversal of 164839771872000 is 278177938461.

164839771872000 is a `hidden beast` number, since 1 + 6 + 48 + 397 + 7 + 187 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 422300922 + ... + 422691078.

Almost surely, 2^{164839771872000} is an apocalyptic number.

164839771872000 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 164839771872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308592408140016).

164839771872000 is an abundant number, since it is smaller than the sum of its proper divisors (452345044408032).

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

164839771872000 is an equidigital number, since it uses as much as digits as its factorization.

164839771872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390363 (or 390330 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 164839771872000 in words is "one hundred sixty-four trillion, eight hundred thirty-nine billion, seven hundred seventy-one million, eight hundred seventy-two thousand".