164950156800 has 2880 divisors, whose sum is σ = 797888931840. Its totient is φ = 31850496000.

The previous prime is 164950156793. The next prime is 164950156823. The reversal of 164950156800 is 8651059461.

164950156800 is a `hidden beast` number, since 1 + 6 + 495 + 0 + 156 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5320972785 + ... + 5320972815.

It is an arithmetic number, because the mean of its divisors is an integer number (277044768).

Almost surely, 2^164950156800 is an apocalyptic number.

164950156800 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 164950156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398944465920).

164950156800 is an abundant number, since it is smaller than the sum of its proper divisors (632938775040).

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

164950156800 is a wasteful number, since it uses less digits than its factorization.

164950156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 164950156800 in words is "one hundred sixty-four billion, nine hundred fifty million, one hundred fifty-six thousand, eight hundred".