164875245120 has 896 divisors, whose sum is σ = 645200640000. Its totient is φ = 39467409408.

The previous prime is 164875245103. The next prime is 164875245167. The reversal of 164875245120 is 21542578461.

164875245120 is a `hidden beast` number, since 1 + 6 + 4 + 87 + 52 + 4 + 512 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 280877467 + ... + 280878053.

It is an arithmetic number, because the mean of its divisors is an integer number (720090000).

Almost surely, 2^164875245120 is an apocalyptic number.

164875245120 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 164875245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322600320000).

164875245120 is an abundant number, since it is smaller than the sum of its proper divisors (480325394880).

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

164875245120 is a wasteful number, since it uses less digits than its factorization.

164875245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 164875245120 in words is "one hundred sixty-four billion, eight hundred seventy-five million, two hundred forty-five thousand, one hundred twenty".