164175780096 has 144 divisors (see below), whose sum is σ = 487084382400. Its totient is φ = 54546296832.

The previous prime is 164175780061. The next prime is 164175780169. The reversal of 164175780096 is 690087571461.

164175780096 is a `hidden beast` number, since 1 + 64 + 1 + 7 + 578 + 0 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2083300 + ... + 2160668.

Almost surely, 2^164175780096 is an apocalyptic number.

164175780096 is a gapful number since it is divisible by the number (16) 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 164175780096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243542191200).

164175780096 is an abundant number, since it is smaller than the sum of its proper divisors (322908602304).

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

164175780096 is an equidigital number, since it uses as much as digits as its factorization.

164175780096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77701 (or 77681 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 164175780096 in words is "one hundred sixty-four billion, one hundred seventy-five million, seven hundred eighty thousand, ninety-six".