164871897120 has 480 divisors, whose sum is σ = 666030169728. Its totient is φ = 37625720832.

The previous prime is 164871897109. The next prime is 164871897133. The reversal of 164871897120 is 21798178461.

164871897120 is a `hidden beast` number, since 16 + 487 + 1 + 89 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86455207 + ... + 86457113.

Almost surely, 2^164871897120 is an apocalyptic number.

164871897120 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 164871897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333015084864).

164871897120 is an abundant number, since it is smaller than the sum of its proper divisors (501158272608).

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

164871897120 is a wasteful number, since it uses less digits than its factorization.

164871897120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 164871897120 in words is "one hundred sixty-four billion, eight hundred seventy-one million, eight hundred ninety-seven thousand, one hundred twenty".